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Finding the Fourth Proportional to 627.40, 865.11 and 461.71

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Solution

The fourth proportional to 627.40, 865.11 and 461.71 is: 636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 865.11 = 461.71 : x
  2. Step 2: Convert to fraction form
    627.40/865.11 = 461.71/x
  3. Step 3: Cross multiply
    627.40x = 865.11 × 461.71
  4. Step 4: Simplify right side
    627.40x = 399,429.94
  5. Step 5: Solve for x
    x = 399,429.94/627.40
  6. Step 6: Final answer
    x = 636.64

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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.