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Finding the Fourth Proportional to 484.62, 726.77 and 159.91

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Solution

The fourth proportional to 484.62, 726.77 and 159.91 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.62 : 726.77 = 159.91 : x
  2. Step 2: Convert to fraction form
    484.62/726.77 = 159.91/x
  3. Step 3: Cross multiply
    484.62x = 726.77 × 159.91
  4. Step 4: Simplify right side
    484.62x = 116,217.79
  5. Step 5: Solve for x
    x = 116,217.79/484.62
  6. Step 6: Final answer
    x = 239.81

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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.