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Finding the Fourth Proportional to 338.65, 467.43 and 240.43

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Solution

The fourth proportional to 338.65, 467.43 and 240.43 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.65 : 467.43 = 240.43 : x
  2. Step 2: Convert to fraction form
    338.65/467.43 = 240.43/x
  3. Step 3: Cross multiply
    338.65x = 467.43 × 240.43
  4. Step 4: Simplify right side
    338.65x = 112,384.19
  5. Step 5: Solve for x
    x = 112,384.19/338.65
  6. Step 6: Final answer
    x = 331.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.