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Finding the Fourth Proportional to 417.97, 627.06 and 129.41

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Solution

The fourth proportional to 417.97, 627.06 and 129.41 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.97 : 627.06 = 129.41 : x
  2. Step 2: Convert to fraction form
    417.97/627.06 = 129.41/x
  3. Step 3: Cross multiply
    417.97x = 627.06 × 129.41
  4. Step 4: Simplify right side
    417.97x = 81,144.05
  5. Step 5: Solve for x
    x = 81,144.05/417.97
  6. Step 6: Final answer
    x = 194.14

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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.