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Finding the Fourth Proportional to 443.43, 664.12 and 428.05

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Solution

The fourth proportional to 443.43, 664.12 and 428.05 is: 641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.43 : 664.12 = 428.05 : x
  2. Step 2: Convert to fraction form
    443.43/664.12 = 428.05/x
  3. Step 3: Cross multiply
    443.43x = 664.12 × 428.05
  4. Step 4: Simplify right side
    443.43x = 284,274.43
  5. Step 5: Solve for x
    x = 284,274.43/443.43
  6. Step 6: Final answer
    x = 641.08

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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.