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Finding the Fourth Proportional to 627.14, 865.40 and 406.01

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Solution

The fourth proportional to 627.14, 865.40 and 406.01 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.14 : 865.40 = 406.01 : x
  2. Step 2: Convert to fraction form
    627.14/865.40 = 406.01/x
  3. Step 3: Cross multiply
    627.14x = 865.40 × 406.01
  4. Step 4: Simplify right side
    627.14x = 351,354.70
  5. Step 5: Solve for x
    x = 351,354.70/627.14
  6. Step 6: Final answer
    x = 560.25

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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.