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Finding the Fourth Proportional to 363.82, 502 and 216.40

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Solution

The fourth proportional to 363.82, 502 and 216.40 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 502 = 216.40 : x
  2. Step 2: Convert to fraction form
    363.82/502 = 216.40/x
  3. Step 3: Cross multiply
    363.82x = 502 × 216.40
  4. Step 4: Simplify right side
    363.82x = 108,632.80
  5. Step 5: Solve for x
    x = 108,632.80/363.82
  6. Step 6: Final answer
    x = 298.59

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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.