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Finding the Fourth Proportional to 402.14, 554.95 and 227.49

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Solution

The fourth proportional to 402.14, 554.95 and 227.49 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 554.95 = 227.49 : x
  2. Step 2: Convert to fraction form
    402.14/554.95 = 227.49/x
  3. Step 3: Cross multiply
    402.14x = 554.95 × 227.49
  4. Step 4: Simplify right side
    402.14x = 126,245.58
  5. Step 5: Solve for x
    x = 126,245.58/402.14
  6. Step 6: Final answer
    x = 313.93

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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.