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Finding the Fourth Proportional to 539.41, 806.67 and 532.73

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Solution

The fourth proportional to 539.41, 806.67 and 532.73 is: 796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.41 : 806.67 = 532.73 : x
  2. Step 2: Convert to fraction form
    539.41/806.67 = 532.73/x
  3. Step 3: Cross multiply
    539.41x = 806.67 × 532.73
  4. Step 4: Simplify right side
    539.41x = 429,737.31
  5. Step 5: Solve for x
    x = 429,737.31/539.41
  6. Step 6: Final answer
    x = 796.68

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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.