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Finding the Fourth Proportional to 414.40, 571.87 and 227.90

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Solution

The fourth proportional to 414.40, 571.87 and 227.90 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.40 : 571.87 = 227.90 : x
  2. Step 2: Convert to fraction form
    414.40/571.87 = 227.90/x
  3. Step 3: Cross multiply
    414.40x = 571.87 × 227.90
  4. Step 4: Simplify right side
    414.40x = 130,326.31
  5. Step 5: Solve for x
    x = 130,326.31/414.40
  6. Step 6: Final answer
    x = 314.50

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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.