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Finding the Fourth Proportional to 638.32, 956.22 and 542.20

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Solution

The fourth proportional to 638.32, 956.22 and 542.20 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.32 : 956.22 = 542.20 : x
  2. Step 2: Convert to fraction form
    638.32/956.22 = 542.20/x
  3. Step 3: Cross multiply
    638.32x = 956.22 × 542.20
  4. Step 4: Simplify right side
    638.32x = 518,462.48
  5. Step 5: Solve for x
    x = 518,462.48/638.32
  6. Step 6: Final answer
    x = 812.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.