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Finding the Fourth Proportional to 664.85, 997.34 and 299.59

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Solution

The fourth proportional to 664.85, 997.34 and 299.59 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.85 : 997.34 = 299.59 : x
  2. Step 2: Convert to fraction form
    664.85/997.34 = 299.59/x
  3. Step 3: Cross multiply
    664.85x = 997.34 × 299.59
  4. Step 4: Simplify right side
    664.85x = 298,793.09
  5. Step 5: Solve for x
    x = 298,793.09/664.85
  6. Step 6: Final answer
    x = 449.41

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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.