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Finding the Fourth Proportional to 443.89, 664.21 and 371.80

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Solution

The fourth proportional to 443.89, 664.21 and 371.80 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.89 : 664.21 = 371.80 : x
  2. Step 2: Convert to fraction form
    443.89/664.21 = 371.80/x
  3. Step 3: Cross multiply
    443.89x = 664.21 × 371.80
  4. Step 4: Simplify right side
    443.89x = 246,948.10
  5. Step 5: Solve for x
    x = 246,948.10/443.89
  6. Step 6: Final answer
    x = 556.33

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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.