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Finding the Fourth Proportional to 418.11, 627.17 and 174.65

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Solution

The fourth proportional to 418.11, 627.17 and 174.65 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 627.17 = 174.65 : x
  2. Step 2: Convert to fraction form
    418.11/627.17 = 174.65/x
  3. Step 3: Cross multiply
    418.11x = 627.17 × 174.65
  4. Step 4: Simplify right side
    418.11x = 109,531.23
  5. Step 5: Solve for x
    x = 109,531.23/418.11
  6. Step 6: Final answer
    x = 261.97

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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.