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Finding the Fourth Proportional to 366.84, 550.80 and 269.64

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Solution

The fourth proportional to 366.84, 550.80 and 269.64 is: 404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.84 : 550.80 = 269.64 : x
  2. Step 2: Convert to fraction form
    366.84/550.80 = 269.64/x
  3. Step 3: Cross multiply
    366.84x = 550.80 × 269.64
  4. Step 4: Simplify right side
    366.84x = 148,517.71
  5. Step 5: Solve for x
    x = 148,517.71/366.84
  6. Step 6: Final answer
    x = 404.86

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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.