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Finding the Fourth Proportional to 325, 487.52 and 97

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Solution

The fourth proportional to 325, 487.52 and 97 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325 : 487.52 = 97 : x
  2. Step 2: Convert to fraction form
    325/487.52 = 97/x
  3. Step 3: Cross multiply
    325x = 487.52 × 97
  4. Step 4: Simplify right side
    325x = 47,289.44
  5. Step 5: Solve for x
    x = 47,289.44/325
  6. Step 6: Final answer
    x = 145.51

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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.