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Finding the Fourth Proportional to 578.25, 866.77 and 269.85

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Solution

The fourth proportional to 578.25, 866.77 and 269.85 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 866.77 = 269.85 : x
  2. Step 2: Convert to fraction form
    578.25/866.77 = 269.85/x
  3. Step 3: Cross multiply
    578.25x = 866.77 × 269.85
  4. Step 4: Simplify right side
    578.25x = 233,897.88
  5. Step 5: Solve for x
    x = 233,897.88/578.25
  6. Step 6: Final answer
    x = 404.49

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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.