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Finding the Fourth Proportional to 960.83, 1,441.32 and 311.59

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Solution

The fourth proportional to 960.83, 1,441.32 and 311.59 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.83 : 1,441.32 = 311.59 : x
  2. Step 2: Convert to fraction form
    960.83/1,441.32 = 311.59/x
  3. Step 3: Cross multiply
    960.83x = 1,441.32 × 311.59
  4. Step 4: Simplify right side
    960.83x = 449,100.90
  5. Step 5: Solve for x
    x = 449,100.90/960.83
  6. Step 6: Final answer
    x = 467.41

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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.