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Finding the Fourth Proportional to 625.78, 863.63 and 377.27

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Solution

The fourth proportional to 625.78, 863.63 and 377.27 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 863.63 = 377.27 : x
  2. Step 2: Convert to fraction form
    625.78/863.63 = 377.27/x
  3. Step 3: Cross multiply
    625.78x = 863.63 × 377.27
  4. Step 4: Simplify right side
    625.78x = 325,821.69
  5. Step 5: Solve for x
    x = 325,821.69/625.78
  6. Step 6: Final answer
    x = 520.66

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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.