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Finding the Fourth Proportional to 329.56, 454.60 and 205.08

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Solution

The fourth proportional to 329.56, 454.60 and 205.08 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.56 : 454.60 = 205.08 : x
  2. Step 2: Convert to fraction form
    329.56/454.60 = 205.08/x
  3. Step 3: Cross multiply
    329.56x = 454.60 × 205.08
  4. Step 4: Simplify right side
    329.56x = 93,229.37
  5. Step 5: Solve for x
    x = 93,229.37/329.56
  6. Step 6: Final answer
    x = 282.89

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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.