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Finding the Fourth Proportional to 402.06, 554.82 and 227.39

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Solution

The fourth proportional to 402.06, 554.82 and 227.39 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 554.82 = 227.39 : x
  2. Step 2: Convert to fraction form
    402.06/554.82 = 227.39/x
  3. Step 3: Cross multiply
    402.06x = 554.82 × 227.39
  4. Step 4: Simplify right side
    402.06x = 126,157.75
  5. Step 5: Solve for x
    x = 126,157.75/402.06
  6. Step 6: Final answer
    x = 313.78

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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.