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Finding the Fourth Proportional to 616.33, 922.17 and 342.62

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Solution

The fourth proportional to 616.33, 922.17 and 342.62 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 922.17 = 342.62 : x
  2. Step 2: Convert to fraction form
    616.33/922.17 = 342.62/x
  3. Step 3: Cross multiply
    616.33x = 922.17 × 342.62
  4. Step 4: Simplify right side
    616.33x = 315,949.27
  5. Step 5: Solve for x
    x = 315,949.27/616.33
  6. Step 6: Final answer
    x = 512.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.