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Finding the Fourth Proportional to 616.41, 850.77 and 406.62

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Solution

The fourth proportional to 616.41, 850.77 and 406.62 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 850.77 = 406.62 : x
  2. Step 2: Convert to fraction form
    616.41/850.77 = 406.62/x
  3. Step 3: Cross multiply
    616.41x = 850.77 × 406.62
  4. Step 4: Simplify right side
    616.41x = 345,940.10
  5. Step 5: Solve for x
    x = 345,940.10/616.41
  6. Step 6: Final answer
    x = 561.22

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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.