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Finding the Fourth Proportional to 363.25, 501.41 and 249.70

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Solution

The fourth proportional to 363.25, 501.41 and 249.70 is: 344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 501.41 = 249.70 : x
  2. Step 2: Convert to fraction form
    363.25/501.41 = 249.70/x
  3. Step 3: Cross multiply
    363.25x = 501.41 × 249.70
  4. Step 4: Simplify right side
    363.25x = 125,202.08
  5. Step 5: Solve for x
    x = 125,202.08/363.25
  6. Step 6: Final answer
    x = 344.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.