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Finding the Fourth Proportional to 483.31, 724.75 and 154.19

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Solution

The fourth proportional to 483.31, 724.75 and 154.19 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.31 : 724.75 = 154.19 : x
  2. Step 2: Convert to fraction form
    483.31/724.75 = 154.19/x
  3. Step 3: Cross multiply
    483.31x = 724.75 × 154.19
  4. Step 4: Simplify right side
    483.31x = 111,745.19
  5. Step 5: Solve for x
    x = 111,745.19/483.31
  6. Step 6: Final answer
    x = 231.21

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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.