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Finding the Fourth Proportional to 363.46, 500.70 and 252.75

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Solution

The fourth proportional to 363.46, 500.70 and 252.75 is: 348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.46 : 500.70 = 252.75 : x
  2. Step 2: Convert to fraction form
    363.46/500.70 = 252.75/x
  3. Step 3: Cross multiply
    363.46x = 500.70 × 252.75
  4. Step 4: Simplify right side
    363.46x = 126,551.93
  5. Step 5: Solve for x
    x = 126,551.93/363.46
  6. Step 6: Final answer
    x = 348.19

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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.