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Finding the Fourth Proportional to 494.09, 739.77 and 249.42

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Solution

The fourth proportional to 494.09, 739.77 and 249.42 is: 373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 739.77 = 249.42 : x
  2. Step 2: Convert to fraction form
    494.09/739.77 = 249.42/x
  3. Step 3: Cross multiply
    494.09x = 739.77 × 249.42
  4. Step 4: Simplify right side
    494.09x = 184,513.43
  5. Step 5: Solve for x
    x = 184,513.43/494.09
  6. Step 6: Final answer
    x = 373.44

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