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Finding the Fourth Proportional to 638.80, 956.10 and 522.32

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Solution

The fourth proportional to 638.80, 956.10 and 522.32 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.80 : 956.10 = 522.32 : x
  2. Step 2: Convert to fraction form
    638.80/956.10 = 522.32/x
  3. Step 3: Cross multiply
    638.80x = 956.10 × 522.32
  4. Step 4: Simplify right side
    638.80x = 499,390.15
  5. Step 5: Solve for x
    x = 499,390.15/638.80
  6. Step 6: Final answer
    x = 781.76

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Why These Related Problems?

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