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Finding the Fourth Proportional to 901.33, 1,352.22 and 252.07

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Solution

The fourth proportional to 901.33, 1,352.22 and 252.07 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.33 : 1,352.22 = 252.07 : x
  2. Step 2: Convert to fraction form
    901.33/1,352.22 = 252.07/x
  3. Step 3: Cross multiply
    901.33x = 1,352.22 × 252.07
  4. Step 4: Simplify right side
    901.33x = 340,847.33
  5. Step 5: Solve for x
    x = 340,847.33/901.33
  6. Step 6: Final answer
    x = 378.16

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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.