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Finding the Fourth Proportional to 615.57, 923.16 and 204.60

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Solution

The fourth proportional to 615.57, 923.16 and 204.60 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.57 : 923.16 = 204.60 : x
  2. Step 2: Convert to fraction form
    615.57/923.16 = 204.60/x
  3. Step 3: Cross multiply
    615.57x = 923.16 × 204.60
  4. Step 4: Simplify right side
    615.57x = 188,878.54
  5. Step 5: Solve for x
    x = 188,878.54/615.57
  6. Step 6: Final answer
    x = 306.84

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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.