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Finding the Fourth Proportional to 409.59, 613.94 and 204.31

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Solution

The fourth proportional to 409.59, 613.94 and 204.31 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.59 : 613.94 = 204.31 : x
  2. Step 2: Convert to fraction form
    409.59/613.94 = 204.31/x
  3. Step 3: Cross multiply
    409.59x = 613.94 × 204.31
  4. Step 4: Simplify right side
    409.59x = 125,434.08
  5. Step 5: Solve for x
    x = 125,434.08/409.59
  6. Step 6: Final answer
    x = 306.24

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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.