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Finding the Fourth Proportional to 615.69, 923.00 and 204.57

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Solution

The fourth proportional to 615.69, 923.00 and 204.57 is: 306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.69 : 923.00 = 204.57 : x
  2. Step 2: Convert to fraction form
    615.69/923.00 = 204.57/x
  3. Step 3: Cross multiply
    615.69x = 923.00 × 204.57
  4. Step 4: Simplify right side
    615.69x = 188,817.09
  5. Step 5: Solve for x
    x = 188,817.09/615.69
  6. Step 6: Final answer
    x = 306.68

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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.