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Finding the Fourth Proportional to 510, 766.80 and 267

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Solution

The fourth proportional to 510, 766.80 and 267 is: 401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 766.80 = 267 : x
  2. Step 2: Convert to fraction form
    510/766.80 = 267/x
  3. Step 3: Cross multiply
    510x = 766.80 × 267
  4. Step 4: Simplify right side
    510x = 204,735.60
  5. Step 5: Solve for x
    x = 204,735.60/510
  6. Step 6: Final answer
    x = 401.44

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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.