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Finding the Fourth Proportional to 662.38, 993.54 and 272.27

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Solution

The fourth proportional to 662.38, 993.54 and 272.27 is: 408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.38 : 993.54 = 272.27 : x
  2. Step 2: Convert to fraction form
    662.38/993.54 = 272.27/x
  3. Step 3: Cross multiply
    662.38x = 993.54 × 272.27
  4. Step 4: Simplify right side
    662.38x = 270,511.08
  5. Step 5: Solve for x
    x = 270,511.08/662.38
  6. Step 6: Final answer
    x = 408.39

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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.