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Finding the Fourth Proportional to 724.27, 999.49 and 392.69

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Solution

The fourth proportional to 724.27, 999.49 and 392.69 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.27 : 999.49 = 392.69 : x
  2. Step 2: Convert to fraction form
    724.27/999.49 = 392.69/x
  3. Step 3: Cross multiply
    724.27x = 999.49 × 392.69
  4. Step 4: Simplify right side
    724.27x = 392,489.73
  5. Step 5: Solve for x
    x = 392,489.73/724.27
  6. Step 6: Final answer
    x = 541.91

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