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Finding the Fourth Proportional to 418.46, 627.75 and 171.66

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Solution

The fourth proportional to 418.46, 627.75 and 171.66 is: 257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.46 : 627.75 = 171.66 : x
  2. Step 2: Convert to fraction form
    418.46/627.75 = 171.66/x
  3. Step 3: Cross multiply
    418.46x = 627.75 × 171.66
  4. Step 4: Simplify right side
    418.46x = 107,759.57
  5. Step 5: Solve for x
    x = 107,759.57/418.46
  6. Step 6: Final answer
    x = 257.51

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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.