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Finding the Fourth Proportional to 363.97, 502.41 and 216.73

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Solution

The fourth proportional to 363.97, 502.41 and 216.73 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 502.41 = 216.73 : x
  2. Step 2: Convert to fraction form
    363.97/502.41 = 216.73/x
  3. Step 3: Cross multiply
    363.97x = 502.41 × 216.73
  4. Step 4: Simplify right side
    363.97x = 108,887.32
  5. Step 5: Solve for x
    x = 108,887.32/363.97
  6. Step 6: Final answer
    x = 299.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.