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Finding the Fourth Proportional to 389.44, 584.04 and 204.22

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Solution

The fourth proportional to 389.44, 584.04 and 204.22 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 584.04 = 204.22 : x
  2. Step 2: Convert to fraction form
    389.44/584.04 = 204.22/x
  3. Step 3: Cross multiply
    389.44x = 584.04 × 204.22
  4. Step 4: Simplify right side
    389.44x = 119,272.65
  5. Step 5: Solve for x
    x = 119,272.65/389.44
  6. Step 6: Final answer
    x = 306.27

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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.