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Finding the Fourth Proportional to 442.59, 664.11 and 269.45

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Solution

The fourth proportional to 442.59, 664.11 and 269.45 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 664.11 = 269.45 : x
  2. Step 2: Convert to fraction form
    442.59/664.11 = 269.45/x
  3. Step 3: Cross multiply
    442.59x = 664.11 × 269.45
  4. Step 4: Simplify right side
    442.59x = 178,944.44
  5. Step 5: Solve for x
    x = 178,944.44/442.59
  6. Step 6: Final answer
    x = 404.31

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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.