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Finding the Fourth Proportional to 627.20, 865.28 and 452.16

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Solution

The fourth proportional to 627.20, 865.28 and 452.16 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 865.28 = 452.16 : x
  2. Step 2: Convert to fraction form
    627.20/865.28 = 452.16/x
  3. Step 3: Cross multiply
    627.20x = 865.28 × 452.16
  4. Step 4: Simplify right side
    627.20x = 391,245.00
  5. Step 5: Solve for x
    x = 391,245.00/627.20
  6. Step 6: Final answer
    x = 623.80

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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.