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Finding the Fourth Proportional to 642.62, 886.14 and 477.15

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Solution

The fourth proportional to 642.62, 886.14 and 477.15 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.62 : 886.14 = 477.15 : x
  2. Step 2: Convert to fraction form
    642.62/886.14 = 477.15/x
  3. Step 3: Cross multiply
    642.62x = 886.14 × 477.15
  4. Step 4: Simplify right side
    642.62x = 422,821.70
  5. Step 5: Solve for x
    x = 422,821.70/642.62
  6. Step 6: Final answer
    x = 657.97

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