Are you running stock directional or aftermarket? The stock front directionals on the 360 had a hot and a switched ground IIRC, as well as a ground to the mounting stud to enable them to run as always on running lights.
Newer turn signals will have two wires, a switched hot I believe and a ground. Your directionals should all have a constant ground (yes all 4 have separate grounds) and switched hots which link them together per side. On the 360, right/left are light blue/orange (probably the same on yours). So make sure you have the L and R sides linked together properly. From there it's a matter of connecting your flasher to the switch (grey?) and flasher to hot wire.
It helps to look at the stock wiring for the directionals, as they use female connectors that allow for multiple males to be hooked up. At the front, for each respective side, you should have your main wire that runs front to back with a female end that receives 1 wire from switch (turns the lights on) and 1 to the light itself.