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Finding the Fourth Proportional to 338.57, 467.42 and 268.91

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Solution

The fourth proportional to 338.57, 467.42 and 268.91 is: 371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.57 : 467.42 = 268.91 : x
  2. Step 2: Convert to fraction form
    338.57/467.42 = 268.91/x
  3. Step 3: Cross multiply
    338.57x = 467.42 × 268.91
  4. Step 4: Simplify right side
    338.57x = 125,690.23
  5. Step 5: Solve for x
    x = 125,690.23/338.57
  6. Step 6: Final answer
    x = 371.24

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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.