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Finding the Fourth Proportional to 511.18, 767.07 and 267.78

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Solution

The fourth proportional to 511.18, 767.07 and 267.78 is: 401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 767.07 = 267.78 : x
  2. Step 2: Convert to fraction form
    511.18/767.07 = 267.78/x
  3. Step 3: Cross multiply
    511.18x = 767.07 × 267.78
  4. Step 4: Simplify right side
    511.18x = 205,406.00
  5. Step 5: Solve for x
    x = 205,406.00/511.18
  6. Step 6: Final answer
    x = 401.83

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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.