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Finding the Fourth Proportional to 325.56, 488.52 and 234.12

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Solution

The fourth proportional to 325.56, 488.52 and 234.12 is: 351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 488.52 = 234.12 : x
  2. Step 2: Convert to fraction form
    325.56/488.52 = 234.12/x
  3. Step 3: Cross multiply
    325.56x = 488.52 × 234.12
  4. Step 4: Simplify right side
    325.56x = 114,372.30
  5. Step 5: Solve for x
    x = 114,372.30/325.56
  6. Step 6: Final answer
    x = 351.31

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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.