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Finding the Fourth Proportional to 636.67, 878.11 and 426.78

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Solution

The fourth proportional to 636.67, 878.11 and 426.78 is: 588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.67 : 878.11 = 426.78 : x
  2. Step 2: Convert to fraction form
    636.67/878.11 = 426.78/x
  3. Step 3: Cross multiply
    636.67x = 878.11 × 426.78
  4. Step 4: Simplify right side
    636.67x = 374,758.72
  5. Step 5: Solve for x
    x = 374,758.72/636.67
  6. Step 6: Final answer
    x = 588.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.