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Finding the Fourth Proportional to 625.26, 936.88 and 419.06

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Solution

The fourth proportional to 625.26, 936.88 and 419.06 is: 627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.26 : 936.88 = 419.06 : x
  2. Step 2: Convert to fraction form
    625.26/936.88 = 419.06/x
  3. Step 3: Cross multiply
    625.26x = 936.88 × 419.06
  4. Step 4: Simplify right side
    625.26x = 392,608.93
  5. Step 5: Solve for x
    x = 392,608.93/625.26
  6. Step 6: Final answer
    x = 627.91

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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.