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Finding the Fourth Proportional to 649.97, 974.81 and 211.26

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Solution

The fourth proportional to 649.97, 974.81 and 211.26 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 974.81 = 211.26 : x
  2. Step 2: Convert to fraction form
    649.97/974.81 = 211.26/x
  3. Step 3: Cross multiply
    649.97x = 974.81 × 211.26
  4. Step 4: Simplify right side
    649.97x = 205,938.36
  5. Step 5: Solve for x
    x = 205,938.36/649.97
  6. Step 6: Final answer
    x = 316.84

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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.