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Finding the Fourth Proportional to 414.14, 619.38 and 250.73

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Solution

The fourth proportional to 414.14, 619.38 and 250.73 is: 374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 619.38 = 250.73 : x
  2. Step 2: Convert to fraction form
    414.14/619.38 = 250.73/x
  3. Step 3: Cross multiply
    414.14x = 619.38 × 250.73
  4. Step 4: Simplify right side
    414.14x = 155,294.05
  5. Step 5: Solve for x
    x = 155,294.05/414.14
  6. Step 6: Final answer
    x = 374.98

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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.