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Finding the Fourth Proportional to 638.72, 959.24 and 475.88

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Solution

The fourth proportional to 638.72, 959.24 and 475.88 is: 714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.72 : 959.24 = 475.88 : x
  2. Step 2: Convert to fraction form
    638.72/959.24 = 475.88/x
  3. Step 3: Cross multiply
    638.72x = 959.24 × 475.88
  4. Step 4: Simplify right side
    638.72x = 456,483.13
  5. Step 5: Solve for x
    x = 456,483.13/638.72
  6. Step 6: Final answer
    x = 714.68

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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.