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Finding the Fourth Proportional to 379.20, 523.30 and 221.84

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Solution

The fourth proportional to 379.20, 523.30 and 221.84 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.20 : 523.30 = 221.84 : x
  2. Step 2: Convert to fraction form
    379.20/523.30 = 221.84/x
  3. Step 3: Cross multiply
    379.20x = 523.30 × 221.84
  4. Step 4: Simplify right side
    379.20x = 116,088.87
  5. Step 5: Solve for x
    x = 116,088.87/379.20
  6. Step 6: Final answer
    x = 306.14

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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.