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Finding the Fourth Proportional to 483.31, 724.46 and 190.40

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Solution

The fourth proportional to 483.31, 724.46 and 190.40 is: 285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.31 : 724.46 = 190.40 : x
  2. Step 2: Convert to fraction form
    483.31/724.46 = 190.40/x
  3. Step 3: Cross multiply
    483.31x = 724.46 × 190.40
  4. Step 4: Simplify right side
    483.31x = 137,939.47
  5. Step 5: Solve for x
    x = 137,939.47/483.31
  6. Step 6: Final answer
    x = 285.41

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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.