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Finding the Fourth Proportional to 615.34, 922.66 and 204.37

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Solution

The fourth proportional to 615.34, 922.66 and 204.37 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.34 : 922.66 = 204.37 : x
  2. Step 2: Convert to fraction form
    615.34/922.66 = 204.37/x
  3. Step 3: Cross multiply
    615.34x = 922.66 × 204.37
  4. Step 4: Simplify right side
    615.34x = 188,562.36
  5. Step 5: Solve for x
    x = 188,562.36/615.34
  6. Step 6: Final answer
    x = 306.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.