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Finding the Fourth Proportional to 627.04, 864.11 and 458.42

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Solution

The fourth proportional to 627.04, 864.11 and 458.42 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.04 : 864.11 = 458.42 : x
  2. Step 2: Convert to fraction form
    627.04/864.11 = 458.42/x
  3. Step 3: Cross multiply
    627.04x = 864.11 × 458.42
  4. Step 4: Simplify right side
    627.04x = 396,123.01
  5. Step 5: Solve for x
    x = 396,123.01/627.04
  6. Step 6: Final answer
    x = 631.74

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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.