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Finding the Fourth Proportional to 363.24, 500.97 and 297.63

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Solution

The fourth proportional to 363.24, 500.97 and 297.63 is: 410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 500.97 = 297.63 : x
  2. Step 2: Convert to fraction form
    363.24/500.97 = 297.63/x
  3. Step 3: Cross multiply
    363.24x = 500.97 × 297.63
  4. Step 4: Simplify right side
    363.24x = 149,103.70
  5. Step 5: Solve for x
    x = 149,103.70/363.24
  6. Step 6: Final answer
    x = 410.48

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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.