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Finding the Fourth Proportional to 724.94, 1,000.41 and 405.91

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Solution

The fourth proportional to 724.94, 1,000.41 and 405.91 is: 560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.94 : 1,000.41 = 405.91 : x
  2. Step 2: Convert to fraction form
    724.94/1,000.41 = 405.91/x
  3. Step 3: Cross multiply
    724.94x = 1,000.41 × 405.91
  4. Step 4: Simplify right side
    724.94x = 406,073.92
  5. Step 5: Solve for x
    x = 406,073.92/724.94
  6. Step 6: Final answer
    x = 560.15

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