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Finding the Fourth Proportional to 329.82, 455.12 and 205.46

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Solution

The fourth proportional to 329.82, 455.12 and 205.46 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 455.12 = 205.46 : x
  2. Step 2: Convert to fraction form
    329.82/455.12 = 205.46/x
  3. Step 3: Cross multiply
    329.82x = 455.12 × 205.46
  4. Step 4: Simplify right side
    329.82x = 93,508.96
  5. Step 5: Solve for x
    x = 93,508.96/329.82
  6. Step 6: Final answer
    x = 283.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.