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Finding the Fourth Proportional to 625.39, 862.83 and 376.78

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Solution

The fourth proportional to 625.39, 862.83 and 376.78 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.39 : 862.83 = 376.78 : x
  2. Step 2: Convert to fraction form
    625.39/862.83 = 376.78/x
  3. Step 3: Cross multiply
    625.39x = 862.83 × 376.78
  4. Step 4: Simplify right side
    625.39x = 325,097.09
  5. Step 5: Solve for x
    x = 325,097.09/625.39
  6. Step 6: Final answer
    x = 519.83

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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.