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Finding the Fourth Proportional to 960.30, 1,440.23 and 310.68

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Solution

The fourth proportional to 960.30, 1,440.23 and 310.68 is: 465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,440.23 = 310.68 : x
  2. Step 2: Convert to fraction form
    960.30/1,440.23 = 310.68/x
  3. Step 3: Cross multiply
    960.30x = 1,440.23 × 310.68
  4. Step 4: Simplify right side
    960.30x = 447,449.10
  5. Step 5: Solve for x
    x = 447,449.10/960.30
  6. Step 6: Final answer
    x = 465.95

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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.