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Finding the Fourth Proportional to 379.44, 523.63 and 232.05

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Solution

The fourth proportional to 379.44, 523.63 and 232.05 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.44 : 523.63 = 232.05 : x
  2. Step 2: Convert to fraction form
    379.44/523.63 = 232.05/x
  3. Step 3: Cross multiply
    379.44x = 523.63 × 232.05
  4. Step 4: Simplify right side
    379.44x = 121,508.34
  5. Step 5: Solve for x
    x = 121,508.34/379.44
  6. Step 6: Final answer
    x = 320.23

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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.