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Finding the Fourth Proportional to 664.72, 997.32 and 299.84

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Solution

The fourth proportional to 664.72, 997.32 and 299.84 is: 449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.72 : 997.32 = 299.84 : x
  2. Step 2: Convert to fraction form
    664.72/997.32 = 299.84/x
  3. Step 3: Cross multiply
    664.72x = 997.32 × 299.84
  4. Step 4: Simplify right side
    664.72x = 299,036.43
  5. Step 5: Solve for x
    x = 299,036.43/664.72
  6. Step 6: Final answer
    x = 449.87

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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.