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Finding the Fourth Proportional to 270.80, 406.48 and 269.84

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Solution

The fourth proportional to 270.80, 406.48 and 269.84 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 406.48 = 269.84 : x
  2. Step 2: Convert to fraction form
    270.80/406.48 = 269.84/x
  3. Step 3: Cross multiply
    270.80x = 406.48 × 269.84
  4. Step 4: Simplify right side
    270.80x = 109,684.56
  5. Step 5: Solve for x
    x = 109,684.56/270.80
  6. Step 6: Final answer
    x = 405.04

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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.