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Finding the Fourth Proportional to 338.61, 467.17 and 207.52

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Solution

The fourth proportional to 338.61, 467.17 and 207.52 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.17 = 207.52 : x
  2. Step 2: Convert to fraction form
    338.61/467.17 = 207.52/x
  3. Step 3: Cross multiply
    338.61x = 467.17 × 207.52
  4. Step 4: Simplify right side
    338.61x = 96,947.12
  5. Step 5: Solve for x
    x = 96,947.12/338.61
  6. Step 6: Final answer
    x = 286.31

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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.