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Finding the Fourth Proportional to 379.08, 523.13 and 221.82

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Solution

The fourth proportional to 379.08, 523.13 and 221.82 is: 306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 523.13 = 221.82 : x
  2. Step 2: Convert to fraction form
    379.08/523.13 = 221.82/x
  3. Step 3: Cross multiply
    379.08x = 523.13 × 221.82
  4. Step 4: Simplify right side
    379.08x = 116,040.70
  5. Step 5: Solve for x
    x = 116,040.70/379.08
  6. Step 6: Final answer
    x = 306.11

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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.