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Finding the Fourth Proportional to 402.60, 555.48 and 227.94

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Solution

The fourth proportional to 402.60, 555.48 and 227.94 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 555.48 = 227.94 : x
  2. Step 2: Convert to fraction form
    402.60/555.48 = 227.94/x
  3. Step 3: Cross multiply
    402.60x = 555.48 × 227.94
  4. Step 4: Simplify right side
    402.60x = 126,616.11
  5. Step 5: Solve for x
    x = 126,616.11/402.60
  6. Step 6: Final answer
    x = 314.50

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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.