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Finding the Fourth Proportional to 778.43, 1,167.28 and 230.47

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Solution

The fourth proportional to 778.43, 1,167.28 and 230.47 is: 345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.43 : 1,167.28 = 230.47 : x
  2. Step 2: Convert to fraction form
    778.43/1,167.28 = 230.47/x
  3. Step 3: Cross multiply
    778.43x = 1,167.28 × 230.47
  4. Step 4: Simplify right side
    778.43x = 269,019.53
  5. Step 5: Solve for x
    x = 269,019.53/778.43
  6. Step 6: Final answer
    x = 345.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.