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Finding the Fourth Proportional to 511.38, 766.71 and 268.02

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Solution

The fourth proportional to 511.38, 766.71 and 268.02 is: 401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 766.71 = 268.02 : x
  2. Step 2: Convert to fraction form
    511.38/766.71 = 268.02/x
  3. Step 3: Cross multiply
    511.38x = 766.71 × 268.02
  4. Step 4: Simplify right side
    511.38x = 205,493.61
  5. Step 5: Solve for x
    x = 205,493.61/511.38
  6. Step 6: Final answer
    x = 401.84

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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.