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Finding the Fourth Proportional to 417.96, 627.06 and 129.44

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Solution

The fourth proportional to 417.96, 627.06 and 129.44 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 627.06 = 129.44 : x
  2. Step 2: Convert to fraction form
    417.96/627.06 = 129.44/x
  3. Step 3: Cross multiply
    417.96x = 627.06 × 129.44
  4. Step 4: Simplify right side
    417.96x = 81,166.65
  5. Step 5: Solve for x
    x = 81,166.65/417.96
  6. Step 6: Final answer
    x = 194.20

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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.