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Finding the Fourth Proportional to 511.87, 766.87 and 267.65

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Solution

The fourth proportional to 511.87, 766.87 and 267.65 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 766.87 = 267.65 : x
  2. Step 2: Convert to fraction form
    511.87/766.87 = 267.65/x
  3. Step 3: Cross multiply
    511.87x = 766.87 × 267.65
  4. Step 4: Simplify right side
    511.87x = 205,255.44
  5. Step 5: Solve for x
    x = 205,255.44/511.87
  6. Step 6: Final answer
    x = 400.99

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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.