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Finding the Fourth Proportional to 442.75, 663.94 and 199.44

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Solution

The fourth proportional to 442.75, 663.94 and 199.44 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 663.94 = 199.44 : x
  2. Step 2: Convert to fraction form
    442.75/663.94 = 199.44/x
  3. Step 3: Cross multiply
    442.75x = 663.94 × 199.44
  4. Step 4: Simplify right side
    442.75x = 132,416.19
  5. Step 5: Solve for x
    x = 132,416.19/442.75
  6. Step 6: Final answer
    x = 299.08

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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.