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Finding the Fourth Proportional to 499.20, 749.21 and 268.26

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Solution

The fourth proportional to 499.20, 749.21 and 268.26 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 749.21 = 268.26 : x
  2. Step 2: Convert to fraction form
    499.20/749.21 = 268.26/x
  3. Step 3: Cross multiply
    499.20x = 749.21 × 268.26
  4. Step 4: Simplify right side
    499.20x = 200,981.73
  5. Step 5: Solve for x
    x = 200,981.73/499.20
  6. Step 6: Final answer
    x = 402.61

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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.