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Finding the Fourth Proportional to 490.75, 736.48 and 247.29

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Solution

The fourth proportional to 490.75, 736.48 and 247.29 is: 371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 736.48 = 247.29 : x
  2. Step 2: Convert to fraction form
    490.75/736.48 = 247.29/x
  3. Step 3: Cross multiply
    490.75x = 736.48 × 247.29
  4. Step 4: Simplify right side
    490.75x = 182,124.45
  5. Step 5: Solve for x
    x = 182,124.45/490.75
  6. Step 6: Final answer
    x = 371.12

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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.