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Finding the Fourth Proportional to 511.46, 766.16 and 267.47

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Solution

The fourth proportional to 511.46, 766.16 and 267.47 is: 400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 766.16 = 267.47 : x
  2. Step 2: Convert to fraction form
    511.46/766.16 = 267.47/x
  3. Step 3: Cross multiply
    511.46x = 766.16 × 267.47
  4. Step 4: Simplify right side
    511.46x = 204,923.52
  5. Step 5: Solve for x
    x = 204,923.52/511.46
  6. Step 6: Final answer
    x = 400.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.