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Finding the Fourth Proportional to 443.48, 664.91 and 281.27

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Solution

The fourth proportional to 443.48, 664.91 and 281.27 is: 421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 664.91 = 281.27 : x
  2. Step 2: Convert to fraction form
    443.48/664.91 = 281.27/x
  3. Step 3: Cross multiply
    443.48x = 664.91 × 281.27
  4. Step 4: Simplify right side
    443.48x = 187,020.55
  5. Step 5: Solve for x
    x = 187,020.55/443.48
  6. Step 6: Final answer
    x = 421.72

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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.