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Finding the Fourth Proportional to 414.26, 571.67 and 248.48

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Solution

The fourth proportional to 414.26, 571.67 and 248.48 is: 342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 571.67 = 248.48 : x
  2. Step 2: Convert to fraction form
    414.26/571.67 = 248.48/x
  3. Step 3: Cross multiply
    414.26x = 571.67 × 248.48
  4. Step 4: Simplify right side
    414.26x = 142,046.32
  5. Step 5: Solve for x
    x = 142,046.32/414.26
  6. Step 6: Final answer
    x = 342.89

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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.