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Finding the Fourth Proportional to 311.69, 467.53 and 80.57

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Solution

The fourth proportional to 311.69, 467.53 and 80.57 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 467.53 = 80.57 : x
  2. Step 2: Convert to fraction form
    311.69/467.53 = 80.57/x
  3. Step 3: Cross multiply
    311.69x = 467.53 × 80.57
  4. Step 4: Simplify right side
    311.69x = 37,669.86
  5. Step 5: Solve for x
    x = 37,669.86/311.69
  6. Step 6: Final answer
    x = 120.86

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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.