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Finding the Fourth Proportional to 494.05, 740.40 and 249.97

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Solution

The fourth proportional to 494.05, 740.40 and 249.97 is: 374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.05 : 740.40 = 249.97 : x
  2. Step 2: Convert to fraction form
    494.05/740.40 = 249.97/x
  3. Step 3: Cross multiply
    494.05x = 740.40 × 249.97
  4. Step 4: Simplify right side
    494.05x = 185,077.79
  5. Step 5: Solve for x
    x = 185,077.79/494.05
  6. Step 6: Final answer
    x = 374.61

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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.