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Finding the Fourth Proportional to 363.28, 500.83 and 296.65

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Solution

The fourth proportional to 363.28, 500.83 and 296.65 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 500.83 = 296.65 : x
  2. Step 2: Convert to fraction form
    363.28/500.83 = 296.65/x
  3. Step 3: Cross multiply
    363.28x = 500.83 × 296.65
  4. Step 4: Simplify right side
    363.28x = 148,571.22
  5. Step 5: Solve for x
    x = 148,571.22/363.28
  6. Step 6: Final answer
    x = 408.97

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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.