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Finding the Fourth Proportional to 363.97, 502.22 and 265.55

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Solution

The fourth proportional to 363.97, 502.22 and 265.55 is: 366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 502.22 = 265.55 : x
  2. Step 2: Convert to fraction form
    363.97/502.22 = 265.55/x
  3. Step 3: Cross multiply
    363.97x = 502.22 × 265.55
  4. Step 4: Simplify right side
    363.97x = 133,366.44
  5. Step 5: Solve for x
    x = 133,366.44/363.97
  6. Step 6: Final answer
    x = 366.42

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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.