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Finding the Fourth Proportional to 616, 850 and 353.92

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Solution

The fourth proportional to 616, 850 and 353.92 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 850 = 353.92 : x
  2. Step 2: Convert to fraction form
    616/850 = 353.92/x
  3. Step 3: Cross multiply
    616x = 850 × 353.92
  4. Step 4: Simplify right side
    616x = 300,832
  5. Step 5: Solve for x
    x = 300,832/616
  6. Step 6: Final answer
    x = 488.36

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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.