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Finding the Fourth Proportional to 662.55, 993.81 and 272.46

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Solution

The fourth proportional to 662.55, 993.81 and 272.46 is: 408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.55 : 993.81 = 272.46 : x
  2. Step 2: Convert to fraction form
    662.55/993.81 = 272.46/x
  3. Step 3: Cross multiply
    662.55x = 993.81 × 272.46
  4. Step 4: Simplify right side
    662.55x = 270,773.47
  5. Step 5: Solve for x
    x = 270,773.47/662.55
  6. Step 6: Final answer
    x = 408.68

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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.