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Finding the Fourth Proportional to 960.94, 1,441.41 and 311.67

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Solution

The fourth proportional to 960.94, 1,441.41 and 311.67 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.94 : 1,441.41 = 311.67 : x
  2. Step 2: Convert to fraction form
    960.94/1,441.41 = 311.67/x
  3. Step 3: Cross multiply
    960.94x = 1,441.41 × 311.67
  4. Step 4: Simplify right side
    960.94x = 449,245.79
  5. Step 5: Solve for x
    x = 449,245.79/960.94
  6. Step 6: Final answer
    x = 467.51

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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.