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Finding the Fourth Proportional to 379.20, 523.20 and 213.42

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Solution

The fourth proportional to 379.20, 523.20 and 213.42 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 523.20 = 213.42 : x
  2. Step 2: Convert to fraction form
    379.20/523.20 = 213.42/x
  3. Step 3: Cross multiply
    379.20x = 523.20 × 213.42
  4. Step 4: Simplify right side
    379.20x = 111,661.34
  5. Step 5: Solve for x
    x = 111,661.34/379.20
  6. Step 6: Final answer
    x = 294.47

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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.