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Finding the Fourth Proportional to 414.49, 571.96 and 227.98

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Solution

The fourth proportional to 414.49, 571.96 and 227.98 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 571.96 = 227.98 : x
  2. Step 2: Convert to fraction form
    414.49/571.96 = 227.98/x
  3. Step 3: Cross multiply
    414.49x = 571.96 × 227.98
  4. Step 4: Simplify right side
    414.49x = 130,396.01
  5. Step 5: Solve for x
    x = 130,396.01/414.49
  6. Step 6: Final answer
    x = 314.59

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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.