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Finding the Fourth Proportional to 680.36, 1,020.20 and 333.17

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Solution

The fourth proportional to 680.36, 1,020.20 and 333.17 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.36 : 1,020.20 = 333.17 : x
  2. Step 2: Convert to fraction form
    680.36/1,020.20 = 333.17/x
  3. Step 3: Cross multiply
    680.36x = 1,020.20 × 333.17
  4. Step 4: Simplify right side
    680.36x = 339,900.92
  5. Step 5: Solve for x
    x = 339,900.92/680.36
  6. Step 6: Final answer
    x = 499.59

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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.