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Finding the Fourth Proportional to 960.16, 1,439.94 and 310.76

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Solution

The fourth proportional to 960.16, 1,439.94 and 310.76 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.16 : 1,439.94 = 310.76 : x
  2. Step 2: Convert to fraction form
    960.16/1,439.94 = 310.76/x
  3. Step 3: Cross multiply
    960.16x = 1,439.94 × 310.76
  4. Step 4: Simplify right side
    960.16x = 447,475.75
  5. Step 5: Solve for x
    x = 447,475.75/960.16
  6. Step 6: Final answer
    x = 466.04

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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.