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Finding the Fourth Proportional to 616.43, 850.43 and 406.72

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Solution

The fourth proportional to 616.43, 850.43 and 406.72 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.43 : 850.43 = 406.72 : x
  2. Step 2: Convert to fraction form
    616.43/850.43 = 406.72/x
  3. Step 3: Cross multiply
    616.43x = 850.43 × 406.72
  4. Step 4: Simplify right side
    616.43x = 345,884.19
  5. Step 5: Solve for x
    x = 345,884.19/616.43
  6. Step 6: Final answer
    x = 561.11

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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.