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Finding the Fourth Proportional to 338.93, 467.84 and 240.97

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Solution

The fourth proportional to 338.93, 467.84 and 240.97 is: 332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 467.84 = 240.97 : x
  2. Step 2: Convert to fraction form
    338.93/467.84 = 240.97/x
  3. Step 3: Cross multiply
    338.93x = 467.84 × 240.97
  4. Step 4: Simplify right side
    338.93x = 112,734.80
  5. Step 5: Solve for x
    x = 112,734.80/338.93
  6. Step 6: Final answer
    x = 332.62

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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.