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Finding the Fourth Proportional to 353.49, 487.82 and 213.66

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Solution

The fourth proportional to 353.49, 487.82 and 213.66 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.49 : 487.82 = 213.66 : x
  2. Step 2: Convert to fraction form
    353.49/487.82 = 213.66/x
  3. Step 3: Cross multiply
    353.49x = 487.82 × 213.66
  4. Step 4: Simplify right side
    353.49x = 104,227.62
  5. Step 5: Solve for x
    x = 104,227.62/353.49
  6. Step 6: Final answer
    x = 294.85

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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.