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Finding the Fourth Proportional to 338.97, 467.70 and 234.15

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Solution

The fourth proportional to 338.97, 467.70 and 234.15 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.97 : 467.70 = 234.15 : x
  2. Step 2: Convert to fraction form
    338.97/467.70 = 234.15/x
  3. Step 3: Cross multiply
    338.97x = 467.70 × 234.15
  4. Step 4: Simplify right side
    338.97x = 109,511.96
  5. Step 5: Solve for x
    x = 109,511.96/338.97
  6. Step 6: Final answer
    x = 323.07

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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.