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Finding the Fourth Proportional to 649.82, 974.50 and 216.88

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Solution

The fourth proportional to 649.82, 974.50 and 216.88 is: 325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 974.50 = 216.88 : x
  2. Step 2: Convert to fraction form
    649.82/974.50 = 216.88/x
  3. Step 3: Cross multiply
    649.82x = 974.50 × 216.88
  4. Step 4: Simplify right side
    649.82x = 211,349.56
  5. Step 5: Solve for x
    x = 211,349.56/649.82
  6. Step 6: Final answer
    x = 325.24

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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.