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Finding the Fourth Proportional to 960.30, 1,440.68 and 344.07

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Solution

The fourth proportional to 960.30, 1,440.68 and 344.07 is: 516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,440.68 = 344.07 : x
  2. Step 2: Convert to fraction form
    960.30/1,440.68 = 344.07/x
  3. Step 3: Cross multiply
    960.30x = 1,440.68 × 344.07
  4. Step 4: Simplify right side
    960.30x = 495,693.05
  5. Step 5: Solve for x
    x = 495,693.05/960.30
  6. Step 6: Final answer
    x = 516.19

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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.