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Finding the Fourth Proportional to 626.12, 940.09 and 381.90

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Solution

The fourth proportional to 626.12, 940.09 and 381.90 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.12 : 940.09 = 381.90 : x
  2. Step 2: Convert to fraction form
    626.12/940.09 = 381.90/x
  3. Step 3: Cross multiply
    626.12x = 940.09 × 381.90
  4. Step 4: Simplify right side
    626.12x = 359,020.37
  5. Step 5: Solve for x
    x = 359,020.37/626.12
  6. Step 6: Final answer
    x = 573.41

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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.