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Finding the Fourth Proportional to 960.49, 1,440.60 and 311.23

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Solution

The fourth proportional to 960.49, 1,440.60 and 311.23 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.49 : 1,440.60 = 311.23 : x
  2. Step 2: Convert to fraction form
    960.49/1,440.60 = 311.23/x
  3. Step 3: Cross multiply
    960.49x = 1,440.60 × 311.23
  4. Step 4: Simplify right side
    960.49x = 448,357.94
  5. Step 5: Solve for x
    x = 448,357.94/960.49
  6. Step 6: Final answer
    x = 466.80

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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.