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Finding the Fourth Proportional to 616.49, 850.74 and 336.73

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Solution

The fourth proportional to 616.49, 850.74 and 336.73 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.49 : 850.74 = 336.73 : x
  2. Step 2: Convert to fraction form
    616.49/850.74 = 336.73/x
  3. Step 3: Cross multiply
    616.49x = 850.74 × 336.73
  4. Step 4: Simplify right side
    616.49x = 286,469.68
  5. Step 5: Solve for x
    x = 286,469.68/616.49
  6. Step 6: Final answer
    x = 464.68

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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.