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Finding the Fourth Proportional to 363.12, 543.24 and 299.76

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Solution

The fourth proportional to 363.12, 543.24 and 299.76 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.12 : 543.24 = 299.76 : x
  2. Step 2: Convert to fraction form
    363.12/543.24 = 299.76/x
  3. Step 3: Cross multiply
    363.12x = 543.24 × 299.76
  4. Step 4: Simplify right side
    363.12x = 162,841.62
  5. Step 5: Solve for x
    x = 162,841.62/363.12
  6. Step 6: Final answer
    x = 448.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.