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Finding the Fourth Proportional to 414.25, 571.49 and 248.48

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Solution

The fourth proportional to 414.25, 571.49 and 248.48 is: 342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.25 : 571.49 = 248.48 : x
  2. Step 2: Convert to fraction form
    414.25/571.49 = 248.48/x
  3. Step 3: Cross multiply
    414.25x = 571.49 × 248.48
  4. Step 4: Simplify right side
    414.25x = 142,000.98
  5. Step 5: Solve for x
    x = 142,000.98/414.25
  6. Step 6: Final answer
    x = 342.79

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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.