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Finding the Fourth Proportional to 414.11, 571.48 and 227.62

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Solution

The fourth proportional to 414.11, 571.48 and 227.62 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.11 : 571.48 = 227.62 : x
  2. Step 2: Convert to fraction form
    414.11/571.48 = 227.62/x
  3. Step 3: Cross multiply
    414.11x = 571.48 × 227.62
  4. Step 4: Simplify right side
    414.11x = 130,080.28
  5. Step 5: Solve for x
    x = 130,080.28/414.11
  6. Step 6: Final answer
    x = 314.12

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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.