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Finding the Fourth Proportional to 414.52, 621.69 and 125.86

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Solution

The fourth proportional to 414.52, 621.69 and 125.86 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 621.69 = 125.86 : x
  2. Step 2: Convert to fraction form
    414.52/621.69 = 125.86/x
  3. Step 3: Cross multiply
    414.52x = 621.69 × 125.86
  4. Step 4: Simplify right side
    414.52x = 78,245.90
  5. Step 5: Solve for x
    x = 78,245.90/414.52
  6. Step 6: Final answer
    x = 188.76

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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.