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Finding the Fourth Proportional to 615.15, 922.82 and 219.80

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Solution

The fourth proportional to 615.15, 922.82 and 219.80 is: 329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.15 : 922.82 = 219.80 : x
  2. Step 2: Convert to fraction form
    615.15/922.82 = 219.80/x
  3. Step 3: Cross multiply
    615.15x = 922.82 × 219.80
  4. Step 4: Simplify right side
    615.15x = 202,832.43
  5. Step 5: Solve for x
    x = 202,832.43/615.15
  6. Step 6: Final answer
    x = 329.73

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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.