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Finding the Fourth Proportional to 724.26, 999.49 and 392.69

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Solution

The fourth proportional to 724.26, 999.49 and 392.69 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 999.49 = 392.69 : x
  2. Step 2: Convert to fraction form
    724.26/999.49 = 392.69/x
  3. Step 3: Cross multiply
    724.26x = 999.49 × 392.69
  4. Step 4: Simplify right side
    724.26x = 392,487.76
  5. Step 5: Solve for x
    x = 392,487.76/724.26
  6. Step 6: Final answer
    x = 541.92

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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.