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Finding the Fourth Proportional to 484.08, 726.48 and 252.96

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Solution

The fourth proportional to 484.08, 726.48 and 252.96 is: 379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 726.48 = 252.96 : x
  2. Step 2: Convert to fraction form
    484.08/726.48 = 252.96/x
  3. Step 3: Cross multiply
    484.08x = 726.48 × 252.96
  4. Step 4: Simplify right side
    484.08x = 183,770.38
  5. Step 5: Solve for x
    x = 183,770.38/484.08
  6. Step 6: Final answer
    x = 379.63

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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.