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Finding the Fourth Proportional to 664.72, 996.44 and 299.36

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Solution

The fourth proportional to 664.72, 996.44 and 299.36 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.72 : 996.44 = 299.36 : x
  2. Step 2: Convert to fraction form
    664.72/996.44 = 299.36/x
  3. Step 3: Cross multiply
    664.72x = 996.44 × 299.36
  4. Step 4: Simplify right side
    664.72x = 298,294.28
  5. Step 5: Solve for x
    x = 298,294.28/664.72
  6. Step 6: Final answer
    x = 448.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.