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Finding the Fourth Proportional to 960.20, 1,440.20 and 311.04

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Solution

The fourth proportional to 960.20, 1,440.20 and 311.04 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.20 : 1,440.20 = 311.04 : x
  2. Step 2: Convert to fraction form
    960.20/1,440.20 = 311.04/x
  3. Step 3: Cross multiply
    960.20x = 1,440.20 × 311.04
  4. Step 4: Simplify right side
    960.20x = 447,959.81
  5. Step 5: Solve for x
    x = 447,959.81/960.20
  6. Step 6: Final answer
    x = 466.53

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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.