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Finding the Fourth Proportional to 379.75, 523.50 and 269.47

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Solution

The fourth proportional to 379.75, 523.50 and 269.47 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.75 : 523.50 = 269.47 : x
  2. Step 2: Convert to fraction form
    379.75/523.50 = 269.47/x
  3. Step 3: Cross multiply
    379.75x = 523.50 × 269.47
  4. Step 4: Simplify right side
    379.75x = 141,067.55
  5. Step 5: Solve for x
    x = 141,067.55/379.75
  6. Step 6: Final answer
    x = 371.47

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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.