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Finding the Fourth Proportional to 329.38, 493.19 and 213.49

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Solution

The fourth proportional to 329.38, 493.19 and 213.49 is: 319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.38 : 493.19 = 213.49 : x
  2. Step 2: Convert to fraction form
    329.38/493.19 = 213.49/x
  3. Step 3: Cross multiply
    329.38x = 493.19 × 213.49
  4. Step 4: Simplify right side
    329.38x = 105,287.60
  5. Step 5: Solve for x
    x = 105,287.60/329.38
  6. Step 6: Final answer
    x = 319.66

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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.