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Finding the Fourth Proportional to 649.96, 975.51 and 406.96

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Solution

The fourth proportional to 649.96, 975.51 and 406.96 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 975.51 = 406.96 : x
  2. Step 2: Convert to fraction form
    649.96/975.51 = 406.96/x
  3. Step 3: Cross multiply
    649.96x = 975.51 × 406.96
  4. Step 4: Simplify right side
    649.96x = 396,993.55
  5. Step 5: Solve for x
    x = 396,993.55/649.96
  6. Step 6: Final answer
    x = 610.80

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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.