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Finding the Fourth Proportional to 402.54, 555.48 and 227.88

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Solution

The fourth proportional to 402.54, 555.48 and 227.88 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 555.48 = 227.88 : x
  2. Step 2: Convert to fraction form
    402.54/555.48 = 227.88/x
  3. Step 3: Cross multiply
    402.54x = 555.48 × 227.88
  4. Step 4: Simplify right side
    402.54x = 126,582.78
  5. Step 5: Solve for x
    x = 126,582.78/402.54
  6. Step 6: Final answer
    x = 314.46

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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.