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Finding the Fourth Proportional to 443.17, 664.76 and 199.64

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Solution

The fourth proportional to 443.17, 664.76 and 199.64 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.17 : 664.76 = 199.64 : x
  2. Step 2: Convert to fraction form
    443.17/664.76 = 199.64/x
  3. Step 3: Cross multiply
    443.17x = 664.76 × 199.64
  4. Step 4: Simplify right side
    443.17x = 132,714.85
  5. Step 5: Solve for x
    x = 132,714.85/443.17
  6. Step 6: Final answer
    x = 299.47

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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.