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Finding the Fourth Proportional to 484.49, 726.57 and 159.80

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Solution

The fourth proportional to 484.49, 726.57 and 159.80 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.49 : 726.57 = 159.80 : x
  2. Step 2: Convert to fraction form
    484.49/726.57 = 159.80/x
  3. Step 3: Cross multiply
    484.49x = 726.57 × 159.80
  4. Step 4: Simplify right side
    484.49x = 116,102.25
  5. Step 5: Solve for x
    x = 116,102.25/484.49
  6. Step 6: Final answer
    x = 239.64

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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.