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Finding the Fourth Proportional to 649.38, 974.09 and 216.54

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Solution

The fourth proportional to 649.38, 974.09 and 216.54 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 974.09 = 216.54 : x
  2. Step 2: Convert to fraction form
    649.38/974.09 = 216.54/x
  3. Step 3: Cross multiply
    649.38x = 974.09 × 216.54
  4. Step 4: Simplify right side
    649.38x = 210,928.37
  5. Step 5: Solve for x
    x = 210,928.37/649.38
  6. Step 6: Final answer
    x = 324.82

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1.5x scale

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.