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Finding the Fourth Proportional to 353.47, 487.92 and 229.27

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Solution

The fourth proportional to 353.47, 487.92 and 229.27 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.47 : 487.92 = 229.27 : x
  2. Step 2: Convert to fraction form
    353.47/487.92 = 229.27/x
  3. Step 3: Cross multiply
    353.47x = 487.92 × 229.27
  4. Step 4: Simplify right side
    353.47x = 111,865.42
  5. Step 5: Solve for x
    x = 111,865.42/353.47
  6. Step 6: Final answer
    x = 316.48

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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.