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Finding the Fourth Proportional to 353.38, 487.68 and 213.49

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Solution

The fourth proportional to 353.38, 487.68 and 213.49 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.38 : 487.68 = 213.49 : x
  2. Step 2: Convert to fraction form
    353.38/487.68 = 213.49/x
  3. Step 3: Cross multiply
    353.38x = 487.68 × 213.49
  4. Step 4: Simplify right side
    353.38x = 104,114.80
  5. Step 5: Solve for x
    x = 104,114.80/353.38
  6. Step 6: Final answer
    x = 294.63

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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.