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Finding the Fourth Proportional to 662.67, 994.07 and 272.58

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Solution

The fourth proportional to 662.67, 994.07 and 272.58 is: 408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.67 : 994.07 = 272.58 : x
  2. Step 2: Convert to fraction form
    662.67/994.07 = 272.58/x
  3. Step 3: Cross multiply
    662.67x = 994.07 × 272.58
  4. Step 4: Simplify right side
    662.67x = 270,962.24
  5. Step 5: Solve for x
    x = 270,962.24/662.67
  6. Step 6: Final answer
    x = 408.89

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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.