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Finding the Fourth Proportional to 511.18, 765.85 and 264.09

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Solution

The fourth proportional to 511.18, 765.85 and 264.09 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 765.85 = 264.09 : x
  2. Step 2: Convert to fraction form
    511.18/765.85 = 264.09/x
  3. Step 3: Cross multiply
    511.18x = 765.85 × 264.09
  4. Step 4: Simplify right side
    511.18x = 202,253.33
  5. Step 5: Solve for x
    x = 202,253.33/511.18
  6. Step 6: Final answer
    x = 395.66

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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.