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Finding the Fourth Proportional to 484.82, 726.92 and 320.11

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Solution

The fourth proportional to 484.82, 726.92 and 320.11 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.82 : 726.92 = 320.11 : x
  2. Step 2: Convert to fraction form
    484.82/726.92 = 320.11/x
  3. Step 3: Cross multiply
    484.82x = 726.92 × 320.11
  4. Step 4: Simplify right side
    484.82x = 232,694.36
  5. Step 5: Solve for x
    x = 232,694.36/484.82
  6. Step 6: Final answer
    x = 479.96

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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.