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Finding the Fourth Proportional to 353.43, 487.85 and 229.43

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Solution

The fourth proportional to 353.43, 487.85 and 229.43 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.43 : 487.85 = 229.43 : x
  2. Step 2: Convert to fraction form
    353.43/487.85 = 229.43/x
  3. Step 3: Cross multiply
    353.43x = 487.85 × 229.43
  4. Step 4: Simplify right side
    353.43x = 111,927.50
  5. Step 5: Solve for x
    x = 111,927.50/353.43
  6. Step 6: Final answer
    x = 316.69

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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.