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Finding the Fourth Proportional to 412.49, 618.47 and 204.11

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Solution

The fourth proportional to 412.49, 618.47 and 204.11 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 618.47 = 204.11 : x
  2. Step 2: Convert to fraction form
    412.49/618.47 = 204.11/x
  3. Step 3: Cross multiply
    412.49x = 618.47 × 204.11
  4. Step 4: Simplify right side
    412.49x = 126,235.91
  5. Step 5: Solve for x
    x = 126,235.91/412.49
  6. Step 6: Final answer
    x = 306.03

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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.