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Finding the Fourth Proportional to 960, 1,440.24 and 276

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Solution

The fourth proportional to 960, 1,440.24 and 276 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,440.24 = 276 : x
  2. Step 2: Convert to fraction form
    960/1,440.24 = 276/x
  3. Step 3: Cross multiply
    960x = 1,440.24 × 276
  4. Step 4: Simplify right side
    960x = 397,506.24
  5. Step 5: Solve for x
    x = 397,506.24/960
  6. Step 6: Final answer
    x = 414.07

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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.