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Finding the Fourth Proportional to 649.48, 974.36 and 216.63

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Solution

The fourth proportional to 649.48, 974.36 and 216.63 is: 324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.48 : 974.36 = 216.63 : x
  2. Step 2: Convert to fraction form
    649.48/974.36 = 216.63/x
  3. Step 3: Cross multiply
    649.48x = 974.36 × 216.63
  4. Step 4: Simplify right side
    649.48x = 211,069.65
  5. Step 5: Solve for x
    x = 211,069.65/649.48
  6. Step 6: Final answer
    x = 324.98

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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.