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Finding the Fourth Proportional to 414.28, 621.42 and 125.72

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Solution

The fourth proportional to 414.28, 621.42 and 125.72 is: 188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 621.42 = 125.72 : x
  2. Step 2: Convert to fraction form
    414.28/621.42 = 125.72/x
  3. Step 3: Cross multiply
    414.28x = 621.42 × 125.72
  4. Step 4: Simplify right side
    414.28x = 78,124.92
  5. Step 5: Solve for x
    x = 78,124.92/414.28
  6. Step 6: Final answer
    x = 188.58

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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.