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Finding the Fourth Proportional to 664.89, 997.33 and 299.25

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Solution

The fourth proportional to 664.89, 997.33 and 299.25 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.89 : 997.33 = 299.25 : x
  2. Step 2: Convert to fraction form
    664.89/997.33 = 299.25/x
  3. Step 3: Cross multiply
    664.89x = 997.33 × 299.25
  4. Step 4: Simplify right side
    664.89x = 298,446.51
  5. Step 5: Solve for x
    x = 298,446.51/664.89
  6. Step 6: Final answer
    x = 448.87

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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.