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Finding the Fourth Proportional to 616.92, 851.24 and 395.80

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Solution

The fourth proportional to 616.92, 851.24 and 395.80 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 851.24 = 395.80 : x
  2. Step 2: Convert to fraction form
    616.92/851.24 = 395.80/x
  3. Step 3: Cross multiply
    616.92x = 851.24 × 395.80
  4. Step 4: Simplify right side
    616.92x = 336,920.79
  5. Step 5: Solve for x
    x = 336,920.79/616.92
  6. Step 6: Final answer
    x = 546.13

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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.