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Finding the Fourth Proportional to 616.28, 850.19 and 406.19

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Solution

The fourth proportional to 616.28, 850.19 and 406.19 is: 560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 850.19 = 406.19 : x
  2. Step 2: Convert to fraction form
    616.28/850.19 = 406.19/x
  3. Step 3: Cross multiply
    616.28x = 850.19 × 406.19
  4. Step 4: Simplify right side
    616.28x = 345,341.82
  5. Step 5: Solve for x
    x = 345,341.82/616.28
  6. Step 6: Final answer
    x = 560.36

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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.