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Finding the Fourth Proportional to 414.38, 571.86 and 248.54

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Solution

The fourth proportional to 414.38, 571.86 and 248.54 is: 342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 571.86 = 248.54 : x
  2. Step 2: Convert to fraction form
    414.38/571.86 = 248.54/x
  3. Step 3: Cross multiply
    414.38x = 571.86 × 248.54
  4. Step 4: Simplify right side
    414.38x = 142,127.23
  5. Step 5: Solve for x
    x = 142,127.23/414.38
  6. Step 6: Final answer
    x = 342.99

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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.