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Finding the Fourth Proportional to 663.21, 993.96 and 272.77

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Solution

The fourth proportional to 663.21, 993.96 and 272.77 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.21 : 993.96 = 272.77 : x
  2. Step 2: Convert to fraction form
    663.21/993.96 = 272.77/x
  3. Step 3: Cross multiply
    663.21x = 993.96 × 272.77
  4. Step 4: Simplify right side
    663.21x = 271,116.14
  5. Step 5: Solve for x
    x = 271,116.14/663.21
  6. Step 6: Final answer
    x = 408.79

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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.