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Finding the Fourth Proportional to 648.38, 972.68 and 215.44

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Solution

The fourth proportional to 648.38, 972.68 and 215.44 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 972.68 = 215.44 : x
  2. Step 2: Convert to fraction form
    648.38/972.68 = 215.44/x
  3. Step 3: Cross multiply
    648.38x = 972.68 × 215.44
  4. Step 4: Simplify right side
    648.38x = 209,550.67
  5. Step 5: Solve for x
    x = 209,550.67/648.38
  6. Step 6: Final answer
    x = 323.19

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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.