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Finding the Fourth Proportional to 329.78, 455.06 and 205.46

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Solution

The fourth proportional to 329.78, 455.06 and 205.46 is: 283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 455.06 = 205.46 : x
  2. Step 2: Convert to fraction form
    329.78/455.06 = 205.46/x
  3. Step 3: Cross multiply
    329.78x = 455.06 × 205.46
  4. Step 4: Simplify right side
    329.78x = 93,496.63
  5. Step 5: Solve for x
    x = 93,496.63/329.78
  6. Step 6: Final answer
    x = 283.51

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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.