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Finding the Fourth Proportional to 325.56, 486.89 and 289.23

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Solution

The fourth proportional to 325.56, 486.89 and 289.23 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 486.89 = 289.23 : x
  2. Step 2: Convert to fraction form
    325.56/486.89 = 289.23/x
  3. Step 3: Cross multiply
    325.56x = 486.89 × 289.23
  4. Step 4: Simplify right side
    325.56x = 140,820.54
  5. Step 5: Solve for x
    x = 140,820.54/325.56
  6. Step 6: Final answer
    x = 432.54

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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.