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Finding the Fourth Proportional to 901.01, 1,351.91 and 381.37

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Solution

The fourth proportional to 901.01, 1,351.91 and 381.37 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.01 : 1,351.91 = 381.37 : x
  2. Step 2: Convert to fraction form
    901.01/1,351.91 = 381.37/x
  3. Step 3: Cross multiply
    901.01x = 1,351.91 × 381.37
  4. Step 4: Simplify right side
    901.01x = 515,578.03
  5. Step 5: Solve for x
    x = 515,578.03/901.01
  6. Step 6: Final answer
    x = 572.22

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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.