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Finding the Fourth Proportional to 418, 627.40 and 174.46

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Solution

The fourth proportional to 418, 627.40 and 174.46 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 627.40 = 174.46 : x
  2. Step 2: Convert to fraction form
    418/627.40 = 174.46/x
  3. Step 3: Cross multiply
    418x = 627.40 × 174.46
  4. Step 4: Simplify right side
    418x = 109,456.20
  5. Step 5: Solve for x
    x = 109,456.20/418
  6. Step 6: Final answer
    x = 261.86

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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.