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Finding the Fourth Proportional to 616.14, 850.36 and 395.73

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Solution

The fourth proportional to 616.14, 850.36 and 395.73 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 850.36 = 395.73 : x
  2. Step 2: Convert to fraction form
    616.14/850.36 = 395.73/x
  3. Step 3: Cross multiply
    616.14x = 850.36 × 395.73
  4. Step 4: Simplify right side
    616.14x = 336,512.96
  5. Step 5: Solve for x
    x = 336,512.96/616.14
  6. Step 6: Final answer
    x = 546.16

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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.