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Finding the Fourth Proportional to 484.81, 726.75 and 310.99

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Solution

The fourth proportional to 484.81, 726.75 and 310.99 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 726.75 = 310.99 : x
  2. Step 2: Convert to fraction form
    484.81/726.75 = 310.99/x
  3. Step 3: Cross multiply
    484.81x = 726.75 × 310.99
  4. Step 4: Simplify right side
    484.81x = 226,011.98
  5. Step 5: Solve for x
    x = 226,011.98/484.81
  6. Step 6: Final answer
    x = 466.19

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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.