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Finding the Fourth Proportional to 363.98, 502.25 and 216.58

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Solution

The fourth proportional to 363.98, 502.25 and 216.58 is: 298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 502.25 = 216.58 : x
  2. Step 2: Convert to fraction form
    363.98/502.25 = 216.58/x
  3. Step 3: Cross multiply
    363.98x = 502.25 × 216.58
  4. Step 4: Simplify right side
    363.98x = 108,778.54
  5. Step 5: Solve for x
    x = 108,778.54/363.98
  6. Step 6: Final answer
    x = 298.86

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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.