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Finding the Fourth Proportional to 402.47, 555.36 and 227.78

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Solution

The fourth proportional to 402.47, 555.36 and 227.78 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 555.36 = 227.78 : x
  2. Step 2: Convert to fraction form
    402.47/555.36 = 227.78/x
  3. Step 3: Cross multiply
    402.47x = 555.36 × 227.78
  4. Step 4: Simplify right side
    402.47x = 126,499.90
  5. Step 5: Solve for x
    x = 126,499.90/402.47
  6. Step 6: Final answer
    x = 314.31

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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.