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Finding the Fourth Proportional to 443.97, 665.46 and 409.73

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Solution

The fourth proportional to 443.97, 665.46 and 409.73 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.97 : 665.46 = 409.73 : x
  2. Step 2: Convert to fraction form
    443.97/665.46 = 409.73/x
  3. Step 3: Cross multiply
    443.97x = 665.46 × 409.73
  4. Step 4: Simplify right side
    443.97x = 272,655.60
  5. Step 5: Solve for x
    x = 272,655.60/443.97
  6. Step 6: Final answer
    x = 614.13

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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.