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Finding the Fourth Proportional to 649.20, 973.89 and 216.27

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Solution

The fourth proportional to 649.20, 973.89 and 216.27 is: 324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 973.89 = 216.27 : x
  2. Step 2: Convert to fraction form
    649.20/973.89 = 216.27/x
  3. Step 3: Cross multiply
    649.20x = 973.89 × 216.27
  4. Step 4: Simplify right side
    649.20x = 210,623.19
  5. Step 5: Solve for x
    x = 210,623.19/649.20
  6. Step 6: Final answer
    x = 324.43

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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.