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Finding the Fourth Proportional to 490.97, 736.54 and 299.77

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Solution

The fourth proportional to 490.97, 736.54 and 299.77 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.97 : 736.54 = 299.77 : x
  2. Step 2: Convert to fraction form
    490.97/736.54 = 299.77/x
  3. Step 3: Cross multiply
    490.97x = 736.54 × 299.77
  4. Step 4: Simplify right side
    490.97x = 220,792.60
  5. Step 5: Solve for x
    x = 220,792.60/490.97
  6. Step 6: Final answer
    x = 449.71

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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.