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Finding the Fourth Proportional to 664.68, 997.43 and 299.47

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Solution

The fourth proportional to 664.68, 997.43 and 299.47 is: 449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 997.43 = 299.47 : x
  2. Step 2: Convert to fraction form
    664.68/997.43 = 299.47/x
  3. Step 3: Cross multiply
    664.68x = 997.43 × 299.47
  4. Step 4: Simplify right side
    664.68x = 298,700.36
  5. Step 5: Solve for x
    x = 298,700.36/664.68
  6. Step 6: Final answer
    x = 449.39

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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.