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Finding the Fourth Proportional to 511.83, 766.09 and 268.02

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Solution

The fourth proportional to 511.83, 766.09 and 268.02 is: 401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 766.09 = 268.02 : x
  2. Step 2: Convert to fraction form
    511.83/766.09 = 268.02/x
  3. Step 3: Cross multiply
    511.83x = 766.09 × 268.02
  4. Step 4: Simplify right side
    511.83x = 205,327.44
  5. Step 5: Solve for x
    x = 205,327.44/511.83
  6. Step 6: Final answer
    x = 401.16

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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.