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Finding the Fourth Proportional to 499.93, 748.96 and 252.84

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Solution

The fourth proportional to 499.93, 748.96 and 252.84 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.93 : 748.96 = 252.84 : x
  2. Step 2: Convert to fraction form
    499.93/748.96 = 252.84/x
  3. Step 3: Cross multiply
    499.93x = 748.96 × 252.84
  4. Step 4: Simplify right side
    499.93x = 189,367.05
  5. Step 5: Solve for x
    x = 189,367.05/499.93
  6. Step 6: Final answer
    x = 378.79

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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.