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Finding the Fourth Proportional to 606.29, 908.82 and 422.82

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Solution

The fourth proportional to 606.29, 908.82 and 422.82 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.29 : 908.82 = 422.82 : x
  2. Step 2: Convert to fraction form
    606.29/908.82 = 422.82/x
  3. Step 3: Cross multiply
    606.29x = 908.82 × 422.82
  4. Step 4: Simplify right side
    606.29x = 384,267.27
  5. Step 5: Solve for x
    x = 384,267.27/606.29
  6. Step 6: Final answer
    x = 633.81

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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.