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Finding the Fourth Proportional to 625.26, 862.65 and 363.09

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Solution

The fourth proportional to 625.26, 862.65 and 363.09 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.26 : 862.65 = 363.09 : x
  2. Step 2: Convert to fraction form
    625.26/862.65 = 363.09/x
  3. Step 3: Cross multiply
    625.26x = 862.65 × 363.09
  4. Step 4: Simplify right side
    625.26x = 313,219.59
  5. Step 5: Solve for x
    x = 313,219.59/625.26
  6. Step 6: Final answer
    x = 500.94

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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.