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Finding the Fourth Proportional to 414.24, 571.62 and 227.74

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Solution

The fourth proportional to 414.24, 571.62 and 227.74 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 571.62 = 227.74 : x
  2. Step 2: Convert to fraction form
    414.24/571.62 = 227.74/x
  3. Step 3: Cross multiply
    414.24x = 571.62 × 227.74
  4. Step 4: Simplify right side
    414.24x = 130,180.74
  5. Step 5: Solve for x
    x = 130,180.74/414.24
  6. Step 6: Final answer
    x = 314.26

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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.