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Finding the Fourth Proportional to 483.90, 725.73 and 159.09

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Solution

The fourth proportional to 483.90, 725.73 and 159.09 is: 238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.90 : 725.73 = 159.09 : x
  2. Step 2: Convert to fraction form
    483.90/725.73 = 159.09/x
  3. Step 3: Cross multiply
    483.90x = 725.73 × 159.09
  4. Step 4: Simplify right side
    483.90x = 115,456.39
  5. Step 5: Solve for x
    x = 115,456.39/483.90
  6. Step 6: Final answer
    x = 238.60

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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.