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Finding the Fourth Proportional to 363.29, 499.37 and 325.62

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Solution

The fourth proportional to 363.29, 499.37 and 325.62 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 499.37 = 325.62 : x
  2. Step 2: Convert to fraction form
    363.29/499.37 = 325.62/x
  3. Step 3: Cross multiply
    363.29x = 499.37 × 325.62
  4. Step 4: Simplify right side
    363.29x = 162,603.23
  5. Step 5: Solve for x
    x = 162,603.23/363.29
  6. Step 6: Final answer
    x = 447.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.