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Finding the Fourth Proportional to 379.13, 523.17 and 221.68

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Solution

The fourth proportional to 379.13, 523.17 and 221.68 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.13 : 523.17 = 221.68 : x
  2. Step 2: Convert to fraction form
    379.13/523.17 = 221.68/x
  3. Step 3: Cross multiply
    379.13x = 523.17 × 221.68
  4. Step 4: Simplify right side
    379.13x = 115,976.98
  5. Step 5: Solve for x
    x = 115,976.98/379.13
  6. Step 6: Final answer
    x = 305.91

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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.