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Finding the Fourth Proportional to 627.98, 865.68 and 462.20

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Solution

The fourth proportional to 627.98, 865.68 and 462.20 is: 637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 865.68 = 462.20 : x
  2. Step 2: Convert to fraction form
    627.98/865.68 = 462.20/x
  3. Step 3: Cross multiply
    627.98x = 865.68 × 462.20
  4. Step 4: Simplify right side
    627.98x = 400,117.30
  5. Step 5: Solve for x
    x = 400,117.30/627.98
  6. Step 6: Final answer
    x = 637.15

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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.