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Finding the Fourth Proportional to 960.31, 1,440.28 and 344.05

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Solution

The fourth proportional to 960.31, 1,440.28 and 344.05 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.31 : 1,440.28 = 344.05 : x
  2. Step 2: Convert to fraction form
    960.31/1,440.28 = 344.05/x
  3. Step 3: Cross multiply
    960.31x = 1,440.28 × 344.05
  4. Step 4: Simplify right side
    960.31x = 495,525.16
  5. Step 5: Solve for x
    x = 495,525.16/960.31
  6. Step 6: Final answer
    x = 516.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.