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Finding the Fourth Proportional to 960.29, 1,440.72 and 311.01

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Solution

The fourth proportional to 960.29, 1,440.72 and 311.01 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.29 : 1,440.72 = 311.01 : x
  2. Step 2: Convert to fraction form
    960.29/1,440.72 = 311.01/x
  3. Step 3: Cross multiply
    960.29x = 1,440.72 × 311.01
  4. Step 4: Simplify right side
    960.29x = 448,078.33
  5. Step 5: Solve for x
    x = 448,078.33/960.29
  6. Step 6: Final answer
    x = 466.61

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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.