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Finding the Fourth Proportional to 402.10, 554.84 and 227.41

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Solution

The fourth proportional to 402.10, 554.84 and 227.41 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.10 : 554.84 = 227.41 : x
  2. Step 2: Convert to fraction form
    402.10/554.84 = 227.41/x
  3. Step 3: Cross multiply
    402.10x = 554.84 × 227.41
  4. Step 4: Simplify right side
    402.10x = 126,175.03
  5. Step 5: Solve for x
    x = 126,175.03/402.10
  6. Step 6: Final answer
    x = 313.79

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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.