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Finding the Fourth Proportional to 414.56, 572.18 and 248.78

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Solution

The fourth proportional to 414.56, 572.18 and 248.78 is: 343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 572.18 = 248.78 : x
  2. Step 2: Convert to fraction form
    414.56/572.18 = 248.78/x
  3. Step 3: Cross multiply
    414.56x = 572.18 × 248.78
  4. Step 4: Simplify right side
    414.56x = 142,346.94
  5. Step 5: Solve for x
    x = 142,346.94/414.56
  6. Step 6: Final answer
    x = 343.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.