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Finding the Fourth Proportional to 615.54, 923.09 and 204.59

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Solution

The fourth proportional to 615.54, 923.09 and 204.59 is: 306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.54 : 923.09 = 204.59 : x
  2. Step 2: Convert to fraction form
    615.54/923.09 = 204.59/x
  3. Step 3: Cross multiply
    615.54x = 923.09 × 204.59
  4. Step 4: Simplify right side
    615.54x = 188,849.34
  5. Step 5: Solve for x
    x = 188,849.34/615.54
  6. Step 6: Final answer
    x = 306.80

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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.