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Finding the Fourth Proportional to 379.70, 523.92 and 213.90

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Solution

The fourth proportional to 379.70, 523.92 and 213.90 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.70 : 523.92 = 213.90 : x
  2. Step 2: Convert to fraction form
    379.70/523.92 = 213.90/x
  3. Step 3: Cross multiply
    379.70x = 523.92 × 213.90
  4. Step 4: Simplify right side
    379.70x = 112,066.49
  5. Step 5: Solve for x
    x = 112,066.49/379.70
  6. Step 6: Final answer
    x = 295.14

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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.