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Finding the Fourth Proportional to 484.59, 726.84 and 310.80

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Solution

The fourth proportional to 484.59, 726.84 and 310.80 is: 466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.59 : 726.84 = 310.80 : x
  2. Step 2: Convert to fraction form
    484.59/726.84 = 310.80/x
  3. Step 3: Cross multiply
    484.59x = 726.84 × 310.80
  4. Step 4: Simplify right side
    484.59x = 225,901.87
  5. Step 5: Solve for x
    x = 225,901.87/484.59
  6. Step 6: Final answer
    x = 466.17

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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.