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Finding the Fourth Proportional to 414.29, 571.73 and 237.26

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Solution

The fourth proportional to 414.29, 571.73 and 237.26 is: 327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 571.73 = 237.26 : x
  2. Step 2: Convert to fraction form
    414.29/571.73 = 237.26/x
  3. Step 3: Cross multiply
    414.29x = 571.73 × 237.26
  4. Step 4: Simplify right side
    414.29x = 135,648.90
  5. Step 5: Solve for x
    x = 135,648.90/414.29
  6. Step 6: Final answer
    x = 327.43

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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.