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Finding the Fourth Proportional to 329.52, 454.73 and 205.20

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Solution

The fourth proportional to 329.52, 454.73 and 205.20 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 454.73 = 205.20 : x
  2. Step 2: Convert to fraction form
    329.52/454.73 = 205.20/x
  3. Step 3: Cross multiply
    329.52x = 454.73 × 205.20
  4. Step 4: Simplify right side
    329.52x = 93,309.57
  5. Step 5: Solve for x
    x = 93,309.57/329.52
  6. Step 6: Final answer
    x = 283.17

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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.