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Finding the Fourth Proportional to 901.57, 1,352.33 and 252.29

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Solution

The fourth proportional to 901.57, 1,352.33 and 252.29 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.57 : 1,352.33 = 252.29 : x
  2. Step 2: Convert to fraction form
    901.57/1,352.33 = 252.29/x
  3. Step 3: Cross multiply
    901.57x = 1,352.33 × 252.29
  4. Step 4: Simplify right side
    901.57x = 341,179.34
  5. Step 5: Solve for x
    x = 341,179.34/901.57
  6. Step 6: Final answer
    x = 378.43

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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.