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Finding the Fourth Proportional to 960.66, 1,440.72 and 344.34

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Solution

The fourth proportional to 960.66, 1,440.72 and 344.34 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.66 : 1,440.72 = 344.34 : x
  2. Step 2: Convert to fraction form
    960.66/1,440.72 = 344.34/x
  3. Step 3: Cross multiply
    960.66x = 1,440.72 × 344.34
  4. Step 4: Simplify right side
    960.66x = 496,097.52
  5. Step 5: Solve for x
    x = 496,097.52/960.66
  6. Step 6: Final answer
    x = 516.41

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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.