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Finding the Fourth Proportional to 661.85, 993.09 and 272.14

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Solution

The fourth proportional to 661.85, 993.09 and 272.14 is: 408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.85 : 993.09 = 272.14 : x
  2. Step 2: Convert to fraction form
    661.85/993.09 = 272.14/x
  3. Step 3: Cross multiply
    661.85x = 993.09 × 272.14
  4. Step 4: Simplify right side
    661.85x = 270,258.05
  5. Step 5: Solve for x
    x = 270,258.05/661.85
  6. Step 6: Final answer
    x = 408.34

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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.