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Finding the Fourth Proportional to 640.52, 960.80 and 538.46

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Solution

The fourth proportional to 640.52, 960.80 and 538.46 is: 807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.52 : 960.80 = 538.46 : x
  2. Step 2: Convert to fraction form
    640.52/960.80 = 538.46/x
  3. Step 3: Cross multiply
    640.52x = 960.80 × 538.46
  4. Step 4: Simplify right side
    640.52x = 517,344.87
  5. Step 5: Solve for x
    x = 517,344.87/640.52
  6. Step 6: Final answer
    x = 807.70

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