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Finding the Fourth Proportional to 493.01, 739.97 and 249.70

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Solution

The fourth proportional to 493.01, 739.97 and 249.70 is: 374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 739.97 = 249.70 : x
  2. Step 2: Convert to fraction form
    493.01/739.97 = 249.70/x
  3. Step 3: Cross multiply
    493.01x = 739.97 × 249.70
  4. Step 4: Simplify right side
    493.01x = 184,770.51
  5. Step 5: Solve for x
    x = 184,770.51/493.01
  6. Step 6: Final answer
    x = 374.78

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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.