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Finding the Fourth Proportional to 363.80, 502.16 and 216.43

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Solution

The fourth proportional to 363.80, 502.16 and 216.43 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 502.16 = 216.43 : x
  2. Step 2: Convert to fraction form
    363.80/502.16 = 216.43/x
  3. Step 3: Cross multiply
    363.80x = 502.16 × 216.43
  4. Step 4: Simplify right side
    363.80x = 108,682.49
  5. Step 5: Solve for x
    x = 108,682.49/363.80
  6. Step 6: Final answer
    x = 298.74

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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.