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Finding the Fourth Proportional to 649.31, 974.14 and 216.47

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Solution

The fourth proportional to 649.31, 974.14 and 216.47 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 974.14 = 216.47 : x
  2. Step 2: Convert to fraction form
    649.31/974.14 = 216.47/x
  3. Step 3: Cross multiply
    649.31x = 974.14 × 216.47
  4. Step 4: Simplify right side
    649.31x = 210,872.09
  5. Step 5: Solve for x
    x = 210,872.09/649.31
  6. Step 6: Final answer
    x = 324.76

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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.