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Finding the Fourth Proportional to 443.95, 665.92 and 200.41

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Solution

The fourth proportional to 443.95, 665.92 and 200.41 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.95 : 665.92 = 200.41 : x
  2. Step 2: Convert to fraction form
    443.95/665.92 = 200.41/x
  3. Step 3: Cross multiply
    443.95x = 665.92 × 200.41
  4. Step 4: Simplify right side
    443.95x = 133,455.61
  5. Step 5: Solve for x
    x = 133,455.61/443.95
  6. Step 6: Final answer
    x = 300.61

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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.