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Finding the Fourth Proportional to 627.51, 865.83 and 461.86

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Solution

The fourth proportional to 627.51, 865.83 and 461.86 is: 637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 865.83 = 461.86 : x
  2. Step 2: Convert to fraction form
    627.51/865.83 = 461.86/x
  3. Step 3: Cross multiply
    627.51x = 865.83 × 461.86
  4. Step 4: Simplify right side
    627.51x = 399,892.24
  5. Step 5: Solve for x
    x = 399,892.24/627.51
  6. Step 6: Final answer
    x = 637.27

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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.