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Finding the Fourth Proportional to 627.24, 939.60 and 410.88

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Solution

The fourth proportional to 627.24, 939.60 and 410.88 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 939.60 = 410.88 : x
  2. Step 2: Convert to fraction form
    627.24/939.60 = 410.88/x
  3. Step 3: Cross multiply
    627.24x = 939.60 × 410.88
  4. Step 4: Simplify right side
    627.24x = 386,062.85
  5. Step 5: Solve for x
    x = 386,062.85/627.24
  6. Step 6: Final answer
    x = 615.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.