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Finding the Fourth Proportional to 616.09, 851.04 and 492.62

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Solution

The fourth proportional to 616.09, 851.04 and 492.62 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.09 : 851.04 = 492.62 : x
  2. Step 2: Convert to fraction form
    616.09/851.04 = 492.62/x
  3. Step 3: Cross multiply
    616.09x = 851.04 × 492.62
  4. Step 4: Simplify right side
    616.09x = 419,232.61
  5. Step 5: Solve for x
    x = 419,232.61/616.09
  6. Step 6: Final answer
    x = 680.47

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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.