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Finding the Fourth Proportional to 379.19, 523.25 and 213.43

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Solution

The fourth proportional to 379.19, 523.25 and 213.43 is: 294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 523.25 = 213.43 : x
  2. Step 2: Convert to fraction form
    379.19/523.25 = 213.43/x
  3. Step 3: Cross multiply
    379.19x = 523.25 × 213.43
  4. Step 4: Simplify right side
    379.19x = 111,673.56
  5. Step 5: Solve for x
    x = 111,673.56/379.19
  6. Step 6: Final answer
    x = 294.50

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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.