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Finding the Fourth Proportional to 680.34, 1,020.80 and 218.16

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Solution

The fourth proportional to 680.34, 1,020.80 and 218.16 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,020.80 = 218.16 : x
  2. Step 2: Convert to fraction form
    680.34/1,020.80 = 218.16/x
  3. Step 3: Cross multiply
    680.34x = 1,020.80 × 218.16
  4. Step 4: Simplify right side
    680.34x = 222,692.62
  5. Step 5: Solve for x
    x = 222,692.62/680.34
  6. Step 6: Final answer
    x = 327.33

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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.