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Finding the Fourth Proportional to 649.97, 975.15 and 321.02

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Solution

The fourth proportional to 649.97, 975.15 and 321.02 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 975.15 = 321.02 : x
  2. Step 2: Convert to fraction form
    649.97/975.15 = 321.02/x
  3. Step 3: Cross multiply
    649.97x = 975.15 × 321.02
  4. Step 4: Simplify right side
    649.97x = 313,037.78
  5. Step 5: Solve for x
    x = 313,037.78/649.97
  6. Step 6: Final answer
    x = 481.62

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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.