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Finding the Fourth Proportional to 279.91, 418.64 and 254.04

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Solution

The fourth proportional to 279.91, 418.64 and 254.04 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 418.64 = 254.04 : x
  2. Step 2: Convert to fraction form
    279.91/418.64 = 254.04/x
  3. Step 3: Cross multiply
    279.91x = 418.64 × 254.04
  4. Step 4: Simplify right side
    279.91x = 106,350.61
  5. Step 5: Solve for x
    x = 106,350.61/279.91
  6. Step 6: Final answer
    x = 379.95

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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.