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Finding the Fourth Proportional to 625.52, 863.14 and 376.83

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Solution

The fourth proportional to 625.52, 863.14 and 376.83 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.52 : 863.14 = 376.83 : x
  2. Step 2: Convert to fraction form
    625.52/863.14 = 376.83/x
  3. Step 3: Cross multiply
    625.52x = 863.14 × 376.83
  4. Step 4: Simplify right side
    625.52x = 325,257.05
  5. Step 5: Solve for x
    x = 325,257.05/625.52
  6. Step 6: Final answer
    x = 519.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.