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Finding the Fourth Proportional to 960.36, 1,440.07 and 311.01

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Solution

The fourth proportional to 960.36, 1,440.07 and 311.01 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.36 : 1,440.07 = 311.01 : x
  2. Step 2: Convert to fraction form
    960.36/1,440.07 = 311.01/x
  3. Step 3: Cross multiply
    960.36x = 1,440.07 × 311.01
  4. Step 4: Simplify right side
    960.36x = 447,879.77
  5. Step 5: Solve for x
    x = 447,879.77/960.36
  6. Step 6: Final answer
    x = 466.37

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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.