Nancy, to make things even more confusing, I believe some of the 360's have either had the receptacle changed out or later models were changed, because some of them have 3 prongs-or at least when you google 360 cords, 3 prong cords come up. The 360 I have is just like yours, however. Cathy gifted it to me in hopes that it could be a part machine for my 332. And, this is why it's sat there. I've not been able to get a foot control for it. It needs repairs, but I can't get started on it until I get a foot control. So, I'm also waiting patiently:>
So, when you're shopping around for the control make sure the end is the wonky pronged one and not 3 prongs.