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Finding the Fourth Proportional to 625.73, 863.76 and 377.27

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Solution

The fourth proportional to 625.73, 863.76 and 377.27 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.73 : 863.76 = 377.27 : x
  2. Step 2: Convert to fraction form
    625.73/863.76 = 377.27/x
  3. Step 3: Cross multiply
    625.73x = 863.76 × 377.27
  4. Step 4: Simplify right side
    625.73x = 325,866.42
  5. Step 5: Solve for x
    x = 325,866.42/625.73
  6. Step 6: Final answer
    x = 520.78

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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.