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Finding the Fourth Proportional to 649.73, 974.60 and 216.89

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Solution

The fourth proportional to 649.73, 974.60 and 216.89 is: 325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 974.60 = 216.89 : x
  2. Step 2: Convert to fraction form
    649.73/974.60 = 216.89/x
  3. Step 3: Cross multiply
    649.73x = 974.60 × 216.89
  4. Step 4: Simplify right side
    649.73x = 211,375.04
  5. Step 5: Solve for x
    x = 211,375.04/649.73
  6. Step 6: Final answer
    x = 325.33

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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.