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Finding the Fourth Proportional to 664.96, 996.66 and 299.32

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Solution

The fourth proportional to 664.96, 996.66 and 299.32 is: 448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 996.66 = 299.32 : x
  2. Step 2: Convert to fraction form
    664.96/996.66 = 299.32/x
  3. Step 3: Cross multiply
    664.96x = 996.66 × 299.32
  4. Step 4: Simplify right side
    664.96x = 298,320.27
  5. Step 5: Solve for x
    x = 298,320.27/664.96
  6. Step 6: Final answer
    x = 448.63

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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.