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Finding the Fourth Proportional to 901.56, 1,352.36 and 252.30

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Solution

The fourth proportional to 901.56, 1,352.36 and 252.30 is: 378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.56 : 1,352.36 = 252.30 : x
  2. Step 2: Convert to fraction form
    901.56/1,352.36 = 252.30/x
  3. Step 3: Cross multiply
    901.56x = 1,352.36 × 252.30
  4. Step 4: Simplify right side
    901.56x = 341,200.43
  5. Step 5: Solve for x
    x = 341,200.43/901.56
  6. Step 6: Final answer
    x = 378.46

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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.