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Finding the Fourth Proportional to 341.49, 512.25 and 219.57

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Solution

The fourth proportional to 341.49, 512.25 and 219.57 is: 329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.49 : 512.25 = 219.57 : x
  2. Step 2: Convert to fraction form
    341.49/512.25 = 219.57/x
  3. Step 3: Cross multiply
    341.49x = 512.25 × 219.57
  4. Step 4: Simplify right side
    341.49x = 112,474.73
  5. Step 5: Solve for x
    x = 112,474.73/341.49
  6. Step 6: Final answer
    x = 329.36

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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.