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Finding the Fourth Proportional to 338.82, 467.85 and 269.27

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Solution

The fourth proportional to 338.82, 467.85 and 269.27 is: 371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 467.85 = 269.27 : x
  2. Step 2: Convert to fraction form
    338.82/467.85 = 269.27/x
  3. Step 3: Cross multiply
    338.82x = 467.85 × 269.27
  4. Step 4: Simplify right side
    338.82x = 125,977.97
  5. Step 5: Solve for x
    x = 125,977.97/338.82
  6. Step 6: Final answer
    x = 371.81

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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.