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Finding the Fourth Proportional to 329.77, 455.19 and 205.52

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Solution

The fourth proportional to 329.77, 455.19 and 205.52 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 455.19 = 205.52 : x
  2. Step 2: Convert to fraction form
    329.77/455.19 = 205.52/x
  3. Step 3: Cross multiply
    329.77x = 455.19 × 205.52
  4. Step 4: Simplify right side
    329.77x = 93,550.65
  5. Step 5: Solve for x
    x = 93,550.65/329.77
  6. Step 6: Final answer
    x = 283.68

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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.