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Finding the Fourth Proportional to 379.34, 523.42 and 213.55

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Solution

The fourth proportional to 379.34, 523.42 and 213.55 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 523.42 = 213.55 : x
  2. Step 2: Convert to fraction form
    379.34/523.42 = 213.55/x
  3. Step 3: Cross multiply
    379.34x = 523.42 × 213.55
  4. Step 4: Simplify right side
    379.34x = 111,776.34
  5. Step 5: Solve for x
    x = 111,776.34/379.34
  6. Step 6: Final answer
    x = 294.66

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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.