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Finding the Fourth Proportional to 363.02, 500.96 and 213.74

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Solution

The fourth proportional to 363.02, 500.96 and 213.74 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 500.96 = 213.74 : x
  2. Step 2: Convert to fraction form
    363.02/500.96 = 213.74/x
  3. Step 3: Cross multiply
    363.02x = 500.96 × 213.74
  4. Step 4: Simplify right side
    363.02x = 107,071.62
  5. Step 5: Solve for x
    x = 107,071.62/363.02
  6. Step 6: Final answer
    x = 294.95

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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.