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Finding the Fourth Proportional to 578.88, 868.32 and 270.60

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Solution

The fourth proportional to 578.88, 868.32 and 270.60 is: 405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 868.32 = 270.60 : x
  2. Step 2: Convert to fraction form
    578.88/868.32 = 270.60/x
  3. Step 3: Cross multiply
    578.88x = 868.32 × 270.60
  4. Step 4: Simplify right side
    578.88x = 234,967.39
  5. Step 5: Solve for x
    x = 234,967.39/578.88
  6. Step 6: Final answer
    x = 405.90

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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.