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Finding the Fourth Proportional to 329.80, 455.40 and 286.60

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Solution

The fourth proportional to 329.80, 455.40 and 286.60 is: 395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.80 : 455.40 = 286.60 : x
  2. Step 2: Convert to fraction form
    329.80/455.40 = 286.60/x
  3. Step 3: Cross multiply
    329.80x = 455.40 × 286.60
  4. Step 4: Simplify right side
    329.80x = 130,517.64
  5. Step 5: Solve for x
    x = 130,517.64/329.80
  6. Step 6: Final answer
    x = 395.75

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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.