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Finding the Fourth Proportional to 280.80, 418.08 and 279.20

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Solution

The fourth proportional to 280.80, 418.08 and 279.20 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.80 : 418.08 = 279.20 : x
  2. Step 2: Convert to fraction form
    280.80/418.08 = 279.20/x
  3. Step 3: Cross multiply
    280.80x = 418.08 × 279.20
  4. Step 4: Simplify right side
    280.80x = 116,727.94
  5. Step 5: Solve for x
    x = 116,727.94/280.80
  6. Step 6: Final answer
    x = 415.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.