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Finding the Fourth Proportional to 664.87, 997.43 and 299.83

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Solution

The fourth proportional to 664.87, 997.43 and 299.83 is: 449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.87 : 997.43 = 299.83 : x
  2. Step 2: Convert to fraction form
    664.87/997.43 = 299.83/x
  3. Step 3: Cross multiply
    664.87x = 997.43 × 299.83
  4. Step 4: Simplify right side
    664.87x = 299,059.44
  5. Step 5: Solve for x
    x = 299,059.44/664.87
  6. Step 6: Final answer
    x = 449.80

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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.