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Finding the Fourth Proportional to 649.30, 974.10 and 216.46

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Solution

The fourth proportional to 649.30, 974.10 and 216.46 is: 324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 974.10 = 216.46 : x
  2. Step 2: Convert to fraction form
    649.30/974.10 = 216.46/x
  3. Step 3: Cross multiply
    649.30x = 974.10 × 216.46
  4. Step 4: Simplify right side
    649.30x = 210,853.69
  5. Step 5: Solve for x
    x = 210,853.69/649.30
  6. Step 6: Final answer
    x = 324.74

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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.