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Finding the Fourth Proportional to 414.30, 571.70 and 227.75

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Solution

The fourth proportional to 414.30, 571.70 and 227.75 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 571.70 = 227.75 : x
  2. Step 2: Convert to fraction form
    414.30/571.70 = 227.75/x
  3. Step 3: Cross multiply
    414.30x = 571.70 × 227.75
  4. Step 4: Simplify right side
    414.30x = 130,204.68
  5. Step 5: Solve for x
    x = 130,204.68/414.30
  6. Step 6: Final answer
    x = 314.28

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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.