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Finding the Fourth Proportional to 578.80, 868.02 and 270.46

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Solution

The fourth proportional to 578.80, 868.02 and 270.46 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 868.02 = 270.46 : x
  2. Step 2: Convert to fraction form
    578.80/868.02 = 270.46/x
  3. Step 3: Cross multiply
    578.80x = 868.02 × 270.46
  4. Step 4: Simplify right side
    578.80x = 234,764.69
  5. Step 5: Solve for x
    x = 234,764.69/578.80
  6. Step 6: Final answer
    x = 405.61

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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.