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Finding the Fourth Proportional to 627.16, 865.32 and 406.18

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Solution

The fourth proportional to 627.16, 865.32 and 406.18 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 865.32 = 406.18 : x
  2. Step 2: Convert to fraction form
    627.16/865.32 = 406.18/x
  3. Step 3: Cross multiply
    627.16x = 865.32 × 406.18
  4. Step 4: Simplify right side
    627.16x = 351,475.68
  5. Step 5: Solve for x
    x = 351,475.68/627.16
  6. Step 6: Final answer
    x = 560.42

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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.