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Finding the Fourth Proportional to 631.34, 871.49 and 542.46

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Solution

The fourth proportional to 631.34, 871.49 and 542.46 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.34 : 871.49 = 542.46 : x
  2. Step 2: Convert to fraction form
    631.34/871.49 = 542.46/x
  3. Step 3: Cross multiply
    631.34x = 871.49 × 542.46
  4. Step 4: Simplify right side
    631.34x = 472,745.75
  5. Step 5: Solve for x
    x = 472,745.75/631.34
  6. Step 6: Final answer
    x = 748.80

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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.