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Finding the Fourth Proportional to 615.33, 922.91 and 204.46

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Solution

The fourth proportional to 615.33, 922.91 and 204.46 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.33 : 922.91 = 204.46 : x
  2. Step 2: Convert to fraction form
    615.33/922.91 = 204.46/x
  3. Step 3: Cross multiply
    615.33x = 922.91 × 204.46
  4. Step 4: Simplify right side
    615.33x = 188,694.85
  5. Step 5: Solve for x
    x = 188,694.85/615.33
  6. Step 6: Final answer
    x = 306.66

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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.