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Finding the Fourth Proportional to 886.16, 1,329.26 and 269.97

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Solution

The fourth proportional to 886.16, 1,329.26 and 269.97 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.16 : 1,329.26 = 269.97 : x
  2. Step 2: Convert to fraction form
    886.16/1,329.26 = 269.97/x
  3. Step 3: Cross multiply
    886.16x = 1,329.26 × 269.97
  4. Step 4: Simplify right side
    886.16x = 358,858.97
  5. Step 5: Solve for x
    x = 358,858.97/886.16
  6. Step 6: Final answer
    x = 404.96

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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.