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Finding the Fourth Proportional to 490.74, 735.20 and 247.44

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Solution

The fourth proportional to 490.74, 735.20 and 247.44 is: 370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 735.20 = 247.44 : x
  2. Step 2: Convert to fraction form
    490.74/735.20 = 247.44/x
  3. Step 3: Cross multiply
    490.74x = 735.20 × 247.44
  4. Step 4: Simplify right side
    490.74x = 181,917.89
  5. Step 5: Solve for x
    x = 181,917.89/490.74
  6. Step 6: Final answer
    x = 370.70

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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.