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Finding the Fourth Proportional to 886.09, 1,328.80 and 269.61

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Solution

The fourth proportional to 886.09, 1,328.80 and 269.61 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.09 : 1,328.80 = 269.61 : x
  2. Step 2: Convert to fraction form
    886.09/1,328.80 = 269.61/x
  3. Step 3: Cross multiply
    886.09x = 1,328.80 × 269.61
  4. Step 4: Simplify right side
    886.09x = 358,257.77
  5. Step 5: Solve for x
    x = 358,257.77/886.09
  6. Step 6: Final answer
    x = 404.31

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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.