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Finding the Fourth Proportional to 341.24, 512.04 and 204.20

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Solution

The fourth proportional to 341.24, 512.04 and 204.20 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.24 : 512.04 = 204.20 : x
  2. Step 2: Convert to fraction form
    341.24/512.04 = 204.20/x
  3. Step 3: Cross multiply
    341.24x = 512.04 × 204.20
  4. Step 4: Simplify right side
    341.24x = 104,558.57
  5. Step 5: Solve for x
    x = 104,558.57/341.24
  6. Step 6: Final answer
    x = 306.41

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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.