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Finding the Fourth Proportional to 542.76, 748.96 and 306.71

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Solution

The fourth proportional to 542.76, 748.96 and 306.71 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 748.96 = 306.71 : x
  2. Step 2: Convert to fraction form
    542.76/748.96 = 306.71/x
  3. Step 3: Cross multiply
    542.76x = 748.96 × 306.71
  4. Step 4: Simplify right side
    542.76x = 229,713.52
  5. Step 5: Solve for x
    x = 229,713.52/542.76
  6. Step 6: Final answer
    x = 423.23

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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.