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Finding the Fourth Proportional to 662.19, 993.39 and 272.09

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Solution

The fourth proportional to 662.19, 993.39 and 272.09 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.19 : 993.39 = 272.09 : x
  2. Step 2: Convert to fraction form
    662.19/993.39 = 272.09/x
  3. Step 3: Cross multiply
    662.19x = 993.39 × 272.09
  4. Step 4: Simplify right side
    662.19x = 270,286.52
  5. Step 5: Solve for x
    x = 270,286.52/662.19
  6. Step 6: Final answer
    x = 408.17

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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.