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Finding the Fourth Proportional to 414, 571.28 and 227.48

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Solution

The fourth proportional to 414, 571.28 and 227.48 is: 313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 571.28 = 227.48 : x
  2. Step 2: Convert to fraction form
    414/571.28 = 227.48/x
  3. Step 3: Cross multiply
    414x = 571.28 × 227.48
  4. Step 4: Simplify right side
    414x = 129,954.77
  5. Step 5: Solve for x
    x = 129,954.77/414
  6. Step 6: Final answer
    x = 313.90

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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.