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Finding the Fourth Proportional to 664.50, 996.96 and 299.34

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Solution

The fourth proportional to 664.50, 996.96 and 299.34 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.50 : 996.96 = 299.34 : x
  2. Step 2: Convert to fraction form
    664.50/996.96 = 299.34/x
  3. Step 3: Cross multiply
    664.50x = 996.96 × 299.34
  4. Step 4: Simplify right side
    664.50x = 298,430.01
  5. Step 5: Solve for x
    x = 298,430.01/664.50
  6. Step 6: Final answer
    x = 449.10

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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.