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Finding the Fourth Proportional to 605.94, 908.91 and 173.07

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Solution

The fourth proportional to 605.94, 908.91 and 173.07 is: 259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.94 : 908.91 = 173.07 : x
  2. Step 2: Convert to fraction form
    605.94/908.91 = 173.07/x
  3. Step 3: Cross multiply
    605.94x = 908.91 × 173.07
  4. Step 4: Simplify right side
    605.94x = 157,305.05
  5. Step 5: Solve for x
    x = 157,305.05/605.94
  6. Step 6: Final answer
    x = 259.61

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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.