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Finding the Fourth Proportional to 960.82, 1,440.36 and 311.14

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Solution

The fourth proportional to 960.82, 1,440.36 and 311.14 is: 466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.82 : 1,440.36 = 311.14 : x
  2. Step 2: Convert to fraction form
    960.82/1,440.36 = 311.14/x
  3. Step 3: Cross multiply
    960.82x = 1,440.36 × 311.14
  4. Step 4: Simplify right side
    960.82x = 448,153.61
  5. Step 5: Solve for x
    x = 448,153.61/960.82
  6. Step 6: Final answer
    x = 466.43

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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.