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Finding the Fourth Proportional to 484.52, 726.14 and 279.20

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Solution

The fourth proportional to 484.52, 726.14 and 279.20 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.52 : 726.14 = 279.20 : x
  2. Step 2: Convert to fraction form
    484.52/726.14 = 279.20/x
  3. Step 3: Cross multiply
    484.52x = 726.14 × 279.20
  4. Step 4: Simplify right side
    484.52x = 202,738.29
  5. Step 5: Solve for x
    x = 202,738.29/484.52
  6. Step 6: Final answer
    x = 418.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.