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Finding the Fourth Proportional to 417.86, 626.49 and 129.14

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Solution

The fourth proportional to 417.86, 626.49 and 129.14 is: 193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 626.49 = 129.14 : x
  2. Step 2: Convert to fraction form
    417.86/626.49 = 129.14/x
  3. Step 3: Cross multiply
    417.86x = 626.49 × 129.14
  4. Step 4: Simplify right side
    417.86x = 80,904.92
  5. Step 5: Solve for x
    x = 80,904.92/417.86
  6. Step 6: Final answer
    x = 193.62

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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.