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Finding the Fourth Proportional to 329.36, 454.53 and 205.03

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Solution

The fourth proportional to 329.36, 454.53 and 205.03 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 454.53 = 205.03 : x
  2. Step 2: Convert to fraction form
    329.36/454.53 = 205.03/x
  3. Step 3: Cross multiply
    329.36x = 454.53 × 205.03
  4. Step 4: Simplify right side
    329.36x = 93,192.29
  5. Step 5: Solve for x
    x = 93,192.29/329.36
  6. Step 6: Final answer
    x = 282.95

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