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Finding the Fourth Proportional to 542.80, 748.92 and 426.16

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Solution

The fourth proportional to 542.80, 748.92 and 426.16 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.80 : 748.92 = 426.16 : x
  2. Step 2: Convert to fraction form
    542.80/748.92 = 426.16/x
  3. Step 3: Cross multiply
    542.80x = 748.92 × 426.16
  4. Step 4: Simplify right side
    542.80x = 319,159.75
  5. Step 5: Solve for x
    x = 319,159.75/542.80
  6. Step 6: Final answer
    x = 587.99

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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.