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Finding the Fourth Proportional to 605.46, 908.57 and 297.43

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Solution

The fourth proportional to 605.46, 908.57 and 297.43 is: 446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 908.57 = 297.43 : x
  2. Step 2: Convert to fraction form
    605.46/908.57 = 297.43/x
  3. Step 3: Cross multiply
    605.46x = 908.57 × 297.43
  4. Step 4: Simplify right side
    605.46x = 270,235.98
  5. Step 5: Solve for x
    x = 270,235.98/605.46
  6. Step 6: Final answer
    x = 446.33

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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.