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Finding the Fourth Proportional to 402.41, 555.31 and 227.75

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Solution

The fourth proportional to 402.41, 555.31 and 227.75 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.41 : 555.31 = 227.75 : x
  2. Step 2: Convert to fraction form
    402.41/555.31 = 227.75/x
  3. Step 3: Cross multiply
    402.41x = 555.31 × 227.75
  4. Step 4: Simplify right side
    402.41x = 126,471.85
  5. Step 5: Solve for x
    x = 126,471.85/402.41
  6. Step 6: Final answer
    x = 314.29

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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.