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Finding the Fourth Proportional to 442.97, 664.71 and 199.56

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Solution

The fourth proportional to 442.97, 664.71 and 199.56 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 664.71 = 199.56 : x
  2. Step 2: Convert to fraction form
    442.97/664.71 = 199.56/x
  3. Step 3: Cross multiply
    442.97x = 664.71 × 199.56
  4. Step 4: Simplify right side
    442.97x = 132,651.27
  5. Step 5: Solve for x
    x = 132,651.27/442.97
  6. Step 6: Final answer
    x = 299.46

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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.