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Finding the Fourth Proportional to 625.27, 936.82 and 496.75

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Solution

The fourth proportional to 625.27, 936.82 and 496.75 is: 744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.27 : 936.82 = 496.75 : x
  2. Step 2: Convert to fraction form
    625.27/936.82 = 496.75/x
  3. Step 3: Cross multiply
    625.27x = 936.82 × 496.75
  4. Step 4: Simplify right side
    625.27x = 465,365.34
  5. Step 5: Solve for x
    x = 465,365.34/625.27
  6. Step 6: Final answer
    x = 744.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.