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Finding the Fourth Proportional to 414, 571.29 and 254.43

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Solution

The fourth proportional to 414, 571.29 and 254.43 is: 351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 571.29 = 254.43 : x
  2. Step 2: Convert to fraction form
    414/571.29 = 254.43/x
  3. Step 3: Cross multiply
    414x = 571.29 × 254.43
  4. Step 4: Simplify right side
    414x = 145,353.31
  5. Step 5: Solve for x
    x = 145,353.31/414
  6. Step 6: Final answer
    x = 351.09

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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.