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Finding the Fourth Proportional to 511.21, 766.82 and 414.82

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Solution

The fourth proportional to 511.21, 766.82 and 414.82 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.21 : 766.82 = 414.82 : x
  2. Step 2: Convert to fraction form
    511.21/766.82 = 414.82/x
  3. Step 3: Cross multiply
    511.21x = 766.82 × 414.82
  4. Step 4: Simplify right side
    511.21x = 318,092.27
  5. Step 5: Solve for x
    x = 318,092.27/511.21
  6. Step 6: Final answer
    x = 622.23

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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.