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Finding the Fourth Proportional to 960.39, 1,440.57 and 344.11

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Solution

The fourth proportional to 960.39, 1,440.57 and 344.11 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.39 : 1,440.57 = 344.11 : x
  2. Step 2: Convert to fraction form
    960.39/1,440.57 = 344.11/x
  3. Step 3: Cross multiply
    960.39x = 1,440.57 × 344.11
  4. Step 4: Simplify right side
    960.39x = 495,714.54
  5. Step 5: Solve for x
    x = 495,714.54/960.39
  6. Step 6: Final answer
    x = 516.16

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Double scale
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1.5x scale

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.