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Finding the Fourth Proportional to 409.34, 613.56 and 204.06

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Solution

The fourth proportional to 409.34, 613.56 and 204.06 is: 305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 613.56 = 204.06 : x
  2. Step 2: Convert to fraction form
    409.34/613.56 = 204.06/x
  3. Step 3: Cross multiply
    409.34x = 613.56 × 204.06
  4. Step 4: Simplify right side
    409.34x = 125,203.05
  5. Step 5: Solve for x
    x = 125,203.05/409.34
  6. Step 6: Final answer
    x = 305.86

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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.