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Finding the Fourth Proportional to 442.94, 664.00 and 199.73

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Solution

The fourth proportional to 442.94, 664.00 and 199.73 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.94 : 664.00 = 199.73 : x
  2. Step 2: Convert to fraction form
    442.94/664.00 = 199.73/x
  3. Step 3: Cross multiply
    442.94x = 664.00 × 199.73
  4. Step 4: Simplify right side
    442.94x = 132,621.88
  5. Step 5: Solve for x
    x = 132,621.88/442.94
  6. Step 6: Final answer
    x = 299.42

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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.