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Finding the Fourth Proportional to 331.29, 496.33 and 209.79

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Solution

The fourth proportional to 331.29, 496.33 and 209.79 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.29 : 496.33 = 209.79 : x
  2. Step 2: Convert to fraction form
    331.29/496.33 = 209.79/x
  3. Step 3: Cross multiply
    331.29x = 496.33 × 209.79
  4. Step 4: Simplify right side
    331.29x = 104,124.55
  5. Step 5: Solve for x
    x = 104,124.55/331.29
  6. Step 6: Final answer
    x = 314.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.