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Finding the Fourth Proportional to 625.50, 936.36 and 418.41

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Solution

The fourth proportional to 625.50, 936.36 and 418.41 is: 626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.50 : 936.36 = 418.41 : x
  2. Step 2: Convert to fraction form
    625.50/936.36 = 418.41/x
  3. Step 3: Cross multiply
    625.50x = 936.36 × 418.41
  4. Step 4: Simplify right side
    625.50x = 391,782.39
  5. Step 5: Solve for x
    x = 391,782.39/625.50
  6. Step 6: Final answer
    x = 626.35

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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.