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Finding the Fourth Proportional to 649.94, 974.90 and 217.09

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Solution

The fourth proportional to 649.94, 974.90 and 217.09 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 974.90 = 217.09 : x
  2. Step 2: Convert to fraction form
    649.94/974.90 = 217.09/x
  3. Step 3: Cross multiply
    649.94x = 974.90 × 217.09
  4. Step 4: Simplify right side
    649.94x = 211,641.04
  5. Step 5: Solve for x
    x = 211,641.04/649.94
  6. Step 6: Final answer
    x = 325.63

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Similar ratio
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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.