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Finding the Fourth Proportional to 329.90, 455.40 and 205.73

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Solution

The fourth proportional to 329.90, 455.40 and 205.73 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.90 : 455.40 = 205.73 : x
  2. Step 2: Convert to fraction form
    329.90/455.40 = 205.73/x
  3. Step 3: Cross multiply
    329.90x = 455.40 × 205.73
  4. Step 4: Simplify right side
    329.90x = 93,687.17
  5. Step 5: Solve for x
    x = 93,687.17/329.90
  6. Step 6: Final answer
    x = 283.99

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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.