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Finding the Fourth Proportional to 627.31, 865.39 and 406.32

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Solution

The fourth proportional to 627.31, 865.39 and 406.32 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 865.39 = 406.32 : x
  2. Step 2: Convert to fraction form
    627.31/865.39 = 406.32/x
  3. Step 3: Cross multiply
    627.31x = 865.39 × 406.32
  4. Step 4: Simplify right side
    627.31x = 351,623.23
  5. Step 5: Solve for x
    x = 351,623.23/627.31
  6. Step 6: Final answer
    x = 560.53

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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.