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Finding the Fourth Proportional to 414.31, 571.75 and 227.81

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Solution

The fourth proportional to 414.31, 571.75 and 227.81 is: 314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.31 : 571.75 = 227.81 : x
  2. Step 2: Convert to fraction form
    414.31/571.75 = 227.81/x
  3. Step 3: Cross multiply
    414.31x = 571.75 × 227.81
  4. Step 4: Simplify right side
    414.31x = 130,251.87
  5. Step 5: Solve for x
    x = 130,251.87/414.31
  6. Step 6: Final answer
    x = 314.39

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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.