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Finding the Fourth Proportional to 616.20, 850.34 and 406.68

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Solution

The fourth proportional to 616.20, 850.34 and 406.68 is: 561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 850.34 = 406.68 : x
  2. Step 2: Convert to fraction form
    616.20/850.34 = 406.68/x
  3. Step 3: Cross multiply
    616.20x = 850.34 × 406.68
  4. Step 4: Simplify right side
    616.20x = 345,816.27
  5. Step 5: Solve for x
    x = 345,816.27/616.20
  6. Step 6: Final answer
    x = 561.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.