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Finding the Fourth Proportional to 680.48, 1,020.69 and 218.25

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Solution

The fourth proportional to 680.48, 1,020.69 and 218.25 is: 327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.48 : 1,020.69 = 218.25 : x
  2. Step 2: Convert to fraction form
    680.48/1,020.69 = 218.25/x
  3. Step 3: Cross multiply
    680.48x = 1,020.69 × 218.25
  4. Step 4: Simplify right side
    680.48x = 222,765.59
  5. Step 5: Solve for x
    x = 222,765.59/680.48
  6. Step 6: Final answer
    x = 327.37

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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.