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Finding the Fourth Proportional to 353.72, 487.96 and 229.42

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Solution

The fourth proportional to 353.72, 487.96 and 229.42 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 487.96 = 229.42 : x
  2. Step 2: Convert to fraction form
    353.72/487.96 = 229.42/x
  3. Step 3: Cross multiply
    353.72x = 487.96 × 229.42
  4. Step 4: Simplify right side
    353.72x = 111,947.78
  5. Step 5: Solve for x
    x = 111,947.78/353.72
  6. Step 6: Final answer
    x = 316.49

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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.