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Finding the Fourth Proportional to 662.36, 993.18 and 272.24

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Solution

The fourth proportional to 662.36, 993.18 and 272.24 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.36 : 993.18 = 272.24 : x
  2. Step 2: Convert to fraction form
    662.36/993.18 = 272.24/x
  3. Step 3: Cross multiply
    662.36x = 993.18 × 272.24
  4. Step 4: Simplify right side
    662.36x = 270,383.32
  5. Step 5: Solve for x
    x = 270,383.32/662.36
  6. Step 6: Final answer
    x = 408.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.