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Finding the Fourth Proportional to 616.18, 850.17 and 409.18

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Solution

The fourth proportional to 616.18, 850.17 and 409.18 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.18 : 850.17 = 409.18 : x
  2. Step 2: Convert to fraction form
    616.18/850.17 = 409.18/x
  3. Step 3: Cross multiply
    616.18x = 850.17 × 409.18
  4. Step 4: Simplify right side
    616.18x = 347,872.56
  5. Step 5: Solve for x
    x = 347,872.56/616.18
  6. Step 6: Final answer
    x = 564.56

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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.