Suppose three LORAN transmitting stations are located at (0, 400), (0, −400), and (350, 400), where all units are in miles. Name these stations T1, T2, and T3, respectively. By measuring the time it takes for the signal to travel from the transmitting station to the receiver on a cruise ship and back, the LORAN system determines that the distance from the ship to T1 is 229 miles. Similarly, it determines that the distance from the ship to T2 is 571 miles and the distance from the ship to T3 is 429 miles. Use the transmitting stations as the foci of two different hyperbolas, determine the location of the ship in the coordinate plane. (Round your answer to the nearest mile.)