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Finding the Fourth Proportional to 269.61, 404.41 and 215.84

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Solution

The fourth proportional to 269.61, 404.41 and 215.84 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.61 : 404.41 = 215.84 : x
  2. Step 2: Convert to fraction form
    269.61/404.41 = 215.84/x
  3. Step 3: Cross multiply
    269.61x = 404.41 × 215.84
  4. Step 4: Simplify right side
    269.61x = 87,287.85
  5. Step 5: Solve for x
    x = 87,287.85/269.61
  6. Step 6: Final answer
    x = 323.76

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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.