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Finding the Fourth Proportional to 648.26, 972.09 and 209.43

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Solution

The fourth proportional to 648.26, 972.09 and 209.43 is: 314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.26 : 972.09 = 209.43 : x
  2. Step 2: Convert to fraction form
    648.26/972.09 = 209.43/x
  3. Step 3: Cross multiply
    648.26x = 972.09 × 209.43
  4. Step 4: Simplify right side
    648.26x = 203,584.81
  5. Step 5: Solve for x
    x = 203,584.81/648.26
  6. Step 6: Final answer
    x = 314.05

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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.