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Finding the Fourth Proportional to 443.64, 664.94 and 199.88

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Solution

The fourth proportional to 443.64, 664.94 and 199.88 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 664.94 = 199.88 : x
  2. Step 2: Convert to fraction form
    443.64/664.94 = 199.88/x
  3. Step 3: Cross multiply
    443.64x = 664.94 × 199.88
  4. Step 4: Simplify right side
    443.64x = 132,908.21
  5. Step 5: Solve for x
    x = 132,908.21/443.64
  6. Step 6: Final answer
    x = 299.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.