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Finding the Fourth Proportional to 615.28, 922.94 and 204.41

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Solution

The fourth proportional to 615.28, 922.94 and 204.41 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.28 : 922.94 = 204.41 : x
  2. Step 2: Convert to fraction form
    615.28/922.94 = 204.41/x
  3. Step 3: Cross multiply
    615.28x = 922.94 × 204.41
  4. Step 4: Simplify right side
    615.28x = 188,658.17
  5. Step 5: Solve for x
    x = 188,658.17/615.28
  6. Step 6: Final answer
    x = 306.62

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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.