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Finding the Fourth Proportional to 363.84, 502.16 and 216.48

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Solution

The fourth proportional to 363.84, 502.16 and 216.48 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 502.16 = 216.48 : x
  2. Step 2: Convert to fraction form
    363.84/502.16 = 216.48/x
  3. Step 3: Cross multiply
    363.84x = 502.16 × 216.48
  4. Step 4: Simplify right side
    363.84x = 108,707.60
  5. Step 5: Solve for x
    x = 108,707.60/363.84
  6. Step 6: Final answer
    x = 298.78

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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.