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Finding the Fourth Proportional to 627.40, 865.52 and 406.26

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Solution

The fourth proportional to 627.40, 865.52 and 406.26 is: 560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 865.52 = 406.26 : x
  2. Step 2: Convert to fraction form
    627.40/865.52 = 406.26/x
  3. Step 3: Cross multiply
    627.40x = 865.52 × 406.26
  4. Step 4: Simplify right side
    627.40x = 351,626.16
  5. Step 5: Solve for x
    x = 351,626.16/627.40
  6. Step 6: Final answer
    x = 560.45

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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.