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Finding the Fourth Proportional to 605.92, 908.48 and 497.44

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Solution

The fourth proportional to 605.92, 908.48 and 497.44 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 908.48 = 497.44 : x
  2. Step 2: Convert to fraction form
    605.92/908.48 = 497.44/x
  3. Step 3: Cross multiply
    605.92x = 908.48 × 497.44
  4. Step 4: Simplify right side
    605.92x = 451,914.29
  5. Step 5: Solve for x
    x = 451,914.29/605.92
  6. Step 6: Final answer
    x = 745.83

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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.