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Finding the Fourth Proportional to 680.80, 938.88 and 484.48

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Solution

The fourth proportional to 680.80, 938.88 and 484.48 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.80 : 938.88 = 484.48 : x
  2. Step 2: Convert to fraction form
    680.80/938.88 = 484.48/x
  3. Step 3: Cross multiply
    680.80x = 938.88 × 484.48
  4. Step 4: Simplify right side
    680.80x = 454,868.58
  5. Step 5: Solve for x
    x = 454,868.58/680.80
  6. Step 6: Final answer
    x = 668.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.