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Finding the Fourth Proportional to 414.08, 571.40 and 227.56

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Solution

The fourth proportional to 414.08, 571.40 and 227.56 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 571.40 = 227.56 : x
  2. Step 2: Convert to fraction form
    414.08/571.40 = 227.56/x
  3. Step 3: Cross multiply
    414.08x = 571.40 × 227.56
  4. Step 4: Simplify right side
    414.08x = 130,027.78
  5. Step 5: Solve for x
    x = 130,027.78/414.08
  6. Step 6: Final answer
    x = 314.02

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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.