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Finding the Fourth Proportional to 547.08, 819.96 and 238.80

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Solution

The fourth proportional to 547.08, 819.96 and 238.80 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.08 : 819.96 = 238.80 : x
  2. Step 2: Convert to fraction form
    547.08/819.96 = 238.80/x
  3. Step 3: Cross multiply
    547.08x = 819.96 × 238.80
  4. Step 4: Simplify right side
    547.08x = 195,806.45
  5. Step 5: Solve for x
    x = 195,806.45/547.08
  6. Step 6: Final answer
    x = 357.91

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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.