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Finding the Fourth Proportional to 402.34, 555.24 and 227.71

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Solution

The fourth proportional to 402.34, 555.24 and 227.71 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.34 : 555.24 = 227.71 : x
  2. Step 2: Convert to fraction form
    402.34/555.24 = 227.71/x
  3. Step 3: Cross multiply
    402.34x = 555.24 × 227.71
  4. Step 4: Simplify right side
    402.34x = 126,433.70
  5. Step 5: Solve for x
    x = 126,433.70/402.34
  6. Step 6: Final answer
    x = 314.25

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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.