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Finding the Fourth Proportional to 680.44, 1,019.28 and 333.28

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Solution

The fourth proportional to 680.44, 1,019.28 and 333.28 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 1,019.28 = 333.28 : x
  2. Step 2: Convert to fraction form
    680.44/1,019.28 = 333.28/x
  3. Step 3: Cross multiply
    680.44x = 1,019.28 × 333.28
  4. Step 4: Simplify right side
    680.44x = 339,705.64
  5. Step 5: Solve for x
    x = 339,705.64/680.44
  6. Step 6: Final answer
    x = 499.24

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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.