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Finding the Fourth Proportional to 557.44, 835.62 and 191.97

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Solution

The fourth proportional to 557.44, 835.62 and 191.97 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 835.62 = 191.97 : x
  2. Step 2: Convert to fraction form
    557.44/835.62 = 191.97/x
  3. Step 3: Cross multiply
    557.44x = 835.62 × 191.97
  4. Step 4: Simplify right side
    557.44x = 160,413.97
  5. Step 5: Solve for x
    x = 160,413.97/557.44
  6. Step 6: Final answer
    x = 287.77

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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.