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Finding the Fourth Proportional to 960.39, 1,440.45 and 344.01

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Solution

The fourth proportional to 960.39, 1,440.45 and 344.01 is: 515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.39 : 1,440.45 = 344.01 : x
  2. Step 2: Convert to fraction form
    960.39/1,440.45 = 344.01/x
  3. Step 3: Cross multiply
    960.39x = 1,440.45 × 344.01
  4. Step 4: Simplify right side
    960.39x = 495,529.20
  5. Step 5: Solve for x
    x = 495,529.20/960.39
  6. Step 6: Final answer
    x = 515.97

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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.