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Finding the Fourth Proportional to 649.46, 974.76 and 406.46

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Solution

The fourth proportional to 649.46, 974.76 and 406.46 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.46 : 974.76 = 406.46 : x
  2. Step 2: Convert to fraction form
    649.46/974.76 = 406.46/x
  3. Step 3: Cross multiply
    649.46x = 974.76 × 406.46
  4. Step 4: Simplify right side
    649.46x = 396,200.95
  5. Step 5: Solve for x
    x = 396,200.95/649.46
  6. Step 6: Final answer
    x = 610.05

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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.