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Finding the Fourth Proportional to 627.46, 864.48 and 452.50

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Solution

The fourth proportional to 627.46, 864.48 and 452.50 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 864.48 = 452.50 : x
  2. Step 2: Convert to fraction form
    627.46/864.48 = 452.50/x
  3. Step 3: Cross multiply
    627.46x = 864.48 × 452.50
  4. Step 4: Simplify right side
    627.46x = 391,177.20
  5. Step 5: Solve for x
    x = 391,177.20/627.46
  6. Step 6: Final answer
    x = 623.43

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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.