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Finding the Fourth Proportional to 664.84, 996.91 and 299.31

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Solution

The fourth proportional to 664.84, 996.91 and 299.31 is: 448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 996.91 = 299.31 : x
  2. Step 2: Convert to fraction form
    664.84/996.91 = 299.31/x
  3. Step 3: Cross multiply
    664.84x = 996.91 × 299.31
  4. Step 4: Simplify right side
    664.84x = 298,385.13
  5. Step 5: Solve for x
    x = 298,385.13/664.84
  6. Step 6: Final answer
    x = 448.81

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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.