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Finding the Fourth Proportional to 490.04, 733.97 and 297.26

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Solution

The fourth proportional to 490.04, 733.97 and 297.26 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.04 : 733.97 = 297.26 : x
  2. Step 2: Convert to fraction form
    490.04/733.97 = 297.26/x
  3. Step 3: Cross multiply
    490.04x = 733.97 × 297.26
  4. Step 4: Simplify right side
    490.04x = 218,177.00
  5. Step 5: Solve for x
    x = 218,177.00/490.04
  6. Step 6: Final answer
    x = 445.23

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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.