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Finding the Fourth Proportional to 442.92, 664.73 and 199.62

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Solution

The fourth proportional to 442.92, 664.73 and 199.62 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 664.73 = 199.62 : x
  2. Step 2: Convert to fraction form
    442.92/664.73 = 199.62/x
  3. Step 3: Cross multiply
    442.92x = 664.73 × 199.62
  4. Step 4: Simplify right side
    442.92x = 132,692.40
  5. Step 5: Solve for x
    x = 132,692.40/442.92
  6. Step 6: Final answer
    x = 299.59

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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.