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Finding the Fourth Proportional to 664.88, 997.32 and 299.41

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Solution

The fourth proportional to 664.88, 997.32 and 299.41 is: 449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 997.32 = 299.41 : x
  2. Step 2: Convert to fraction form
    664.88/997.32 = 299.41/x
  3. Step 3: Cross multiply
    664.88x = 997.32 × 299.41
  4. Step 4: Simplify right side
    664.88x = 298,611.82
  5. Step 5: Solve for x
    x = 298,611.82/664.88
  6. Step 6: Final answer
    x = 449.12

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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.