I surprised that 360 is so significantly different from 365 for you and serves as a good final warm-up. That is 98.6% of your final lift. I would think a weight so close to a 1RM would actually tire you out rather than get your muscles and nervous system completely warmed up.
For powerlifting competitions, I think people use a first lift in the 90-93% range and a second lift is usually somewhere in the 93-96% range.