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Finding the Fourth Proportional to 638.67, 959.22 and 475.86

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Solution

The fourth proportional to 638.67, 959.22 and 475.86 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.67 : 959.22 = 475.86 : x
  2. Step 2: Convert to fraction form
    638.67/959.22 = 475.86/x
  3. Step 3: Cross multiply
    638.67x = 959.22 × 475.86
  4. Step 4: Simplify right side
    638.67x = 456,454.43
  5. Step 5: Solve for x
    x = 456,454.43/638.67
  6. Step 6: Final answer
    x = 714.70

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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.