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Finding the Fourth Proportional to 724.71, 999.62 and 476.24

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Solution

The fourth proportional to 724.71, 999.62 and 476.24 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.71 : 999.62 = 476.24 : x
  2. Step 2: Convert to fraction form
    724.71/999.62 = 476.24/x
  3. Step 3: Cross multiply
    724.71x = 999.62 × 476.24
  4. Step 4: Simplify right side
    724.71x = 476,060.22
  5. Step 5: Solve for x
    x = 476,060.22/724.71
  6. Step 6: Final answer
    x = 656.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.