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Finding the Fourth Proportional to 648.09, 971.75 and 209.22

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Solution

The fourth proportional to 648.09, 971.75 and 209.22 is: 313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 971.75 = 209.22 : x
  2. Step 2: Convert to fraction form
    648.09/971.75 = 209.22/x
  3. Step 3: Cross multiply
    648.09x = 971.75 × 209.22
  4. Step 4: Simplify right side
    648.09x = 203,309.54
  5. Step 5: Solve for x
    x = 203,309.54/648.09
  6. Step 6: Final answer
    x = 313.71

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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.