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Finding the Fourth Proportional to 886.02, 1,329.24 and 269.69

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Solution

The fourth proportional to 886.02, 1,329.24 and 269.69 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.02 : 1,329.24 = 269.69 : x
  2. Step 2: Convert to fraction form
    886.02/1,329.24 = 269.69/x
  3. Step 3: Cross multiply
    886.02x = 1,329.24 × 269.69
  4. Step 4: Simplify right side
    886.02x = 358,476.09
  5. Step 5: Solve for x
    x = 358,476.09/886.02
  6. Step 6: Final answer
    x = 404.59

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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.