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Finding the Fourth Proportional to 625.14, 862.72 and 363.22

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Solution

The fourth proportional to 625.14, 862.72 and 363.22 is: 501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.14 : 862.72 = 363.22 : x
  2. Step 2: Convert to fraction form
    625.14/862.72 = 363.22/x
  3. Step 3: Cross multiply
    625.14x = 862.72 × 363.22
  4. Step 4: Simplify right side
    625.14x = 313,354.09
  5. Step 5: Solve for x
    x = 313,354.09/625.14
  6. Step 6: Final answer
    x = 501.25

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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.