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Finding the Fourth Proportional to 616.50, 850.17 and 406.62

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Solution

The fourth proportional to 616.50, 850.17 and 406.62 is: 560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 850.17 = 406.62 : x
  2. Step 2: Convert to fraction form
    616.50/850.17 = 406.62/x
  3. Step 3: Cross multiply
    616.50x = 850.17 × 406.62
  4. Step 4: Simplify right side
    616.50x = 345,696.13
  5. Step 5: Solve for x
    x = 345,696.13/616.50
  6. Step 6: Final answer
    x = 560.74

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