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Finding the Fourth Proportional to 443.76, 665.38 and 200.24

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Solution

The fourth proportional to 443.76, 665.38 and 200.24 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.76 : 665.38 = 200.24 : x
  2. Step 2: Convert to fraction form
    443.76/665.38 = 200.24/x
  3. Step 3: Cross multiply
    443.76x = 665.38 × 200.24
  4. Step 4: Simplify right side
    443.76x = 133,235.69
  5. Step 5: Solve for x
    x = 133,235.69/443.76
  6. Step 6: Final answer
    x = 300.24

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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.