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Finding the Fourth Proportional to 960, 1,440 and 310.76

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Solution

The fourth proportional to 960, 1,440 and 310.76 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,440 = 310.76 : x
  2. Step 2: Convert to fraction form
    960/1,440 = 310.76/x
  3. Step 3: Cross multiply
    960x = 1,440 × 310.76
  4. Step 4: Simplify right side
    960x = 447,494.40
  5. Step 5: Solve for x
    x = 447,494.40/960
  6. Step 6: Final answer
    x = 466.14

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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.