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Finding the Fourth Proportional to 511.38, 766.26 and 443.34

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Solution

The fourth proportional to 511.38, 766.26 and 443.34 is: 664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 766.26 = 443.34 : x
  2. Step 2: Convert to fraction form
    511.38/766.26 = 443.34/x
  3. Step 3: Cross multiply
    511.38x = 766.26 × 443.34
  4. Step 4: Simplify right side
    511.38x = 339,713.71
  5. Step 5: Solve for x
    x = 339,713.71/511.38
  6. Step 6: Final answer
    x = 664.31

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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.