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Finding the Fourth Proportional to 960.11, 1,440.18 and 310.84

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Solution

The fourth proportional to 960.11, 1,440.18 and 310.84 is: 466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.11 : 1,440.18 = 310.84 : x
  2. Step 2: Convert to fraction form
    960.11/1,440.18 = 310.84/x
  3. Step 3: Cross multiply
    960.11x = 1,440.18 × 310.84
  4. Step 4: Simplify right side
    960.11x = 447,665.55
  5. Step 5: Solve for x
    x = 447,665.55/960.11
  6. Step 6: Final answer
    x = 466.26

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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.