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Finding the Fourth Proportional to 335.27, 462.41 and 269.66

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Solution

The fourth proportional to 335.27, 462.41 and 269.66 is: 371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.27 : 462.41 = 269.66 : x
  2. Step 2: Convert to fraction form
    335.27/462.41 = 269.66/x
  3. Step 3: Cross multiply
    335.27x = 462.41 × 269.66
  4. Step 4: Simplify right side
    335.27x = 124,694.30
  5. Step 5: Solve for x
    x = 124,694.30/335.27
  6. Step 6: Final answer
    x = 371.92

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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.