Yes, you have basically the same scenario. So the fix should be the same. Moving traffic off of VLAN 1 should allow for the routing to work, VLAN 1 is not routable unless the management VLAN is changed to a different VLAN. 
I have the need to have 3 VLANs 3 VLANs can't talk to each other. VLANs should be able to get to the internet My gateway is a standard Linksys type of router with the IP of 192.168.1.1 My Switches IP is 192.168.1.7 (as shown in the below config) I am not sure what to do next...  TestSwitch#show running-config!Current Configuration:!System Description "PowerConnect 6248P, 3.3.3.3, VxWorks 6.5"!System Software Version 3.3.3.3!Cut-through mode is configured as disabled!configurevlan databasevlan 20,30,40vlan routing 20 1vlan routing 30 2vlan routing 40 3exithostname "TestSwitch"stackmember 2 5exitip address 192.168.1.7 255.255.255.0ip default-gateway 192.168.1.1ip helper-address 192.168.1.1 dhcpinterface vlan 20name "Private" routingip address 10.11.12.10 255.255.255.0exitinterface vlan 30name "Public"routingip address 10.11.13.10 255.255.255.0exitinterface vlan 40name "Training Center"routingip address 10.11.11.10 255.255.255.0exit !interface ethernet 2/g3switchport access vlan 20exit!interface ethernet 2/g4switchport access vlan 40exit!interface ethernet 2/g5switchport access vlan 20exit!interface ethernet 2/g6switchport access vlan 20 exit!interface ethernet 2/g7switchport access vlan 20exit!interface ethernet 2/g8switchport access vlan 20exit!interface ethernet 2/g9switchport access vlan 20exitexit 
Very Simple Config on a 6248