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Finding the Fourth Proportional to 414.31, 571.75 and 225.26

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Solution

The fourth proportional to 414.31, 571.75 and 225.26 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.31 : 571.75 = 225.26 : x
  2. Step 2: Convert to fraction form
    414.31/571.75 = 225.26/x
  3. Step 3: Cross multiply
    414.31x = 571.75 × 225.26
  4. Step 4: Simplify right side
    414.31x = 128,791.19
  5. Step 5: Solve for x
    x = 128,791.19/414.31
  6. Step 6: Final answer
    x = 310.86

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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.