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Finding the Fourth Proportional to 379.31, 523.67 and 269.01

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Solution

The fourth proportional to 379.31, 523.67 and 269.01 is: 371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 523.67 = 269.01 : x
  2. Step 2: Convert to fraction form
    379.31/523.67 = 269.01/x
  3. Step 3: Cross multiply
    379.31x = 523.67 × 269.01
  4. Step 4: Simplify right side
    379.31x = 140,871.12
  5. Step 5: Solve for x
    x = 140,871.12/379.31
  6. Step 6: Final answer
    x = 371.39

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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.