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Finding the Fourth Proportional to 287.48, 396.42 and 204.50

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Solution

The fourth proportional to 287.48, 396.42 and 204.50 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 396.42 = 204.50 : x
  2. Step 2: Convert to fraction form
    287.48/396.42 = 204.50/x
  3. Step 3: Cross multiply
    287.48x = 396.42 × 204.50
  4. Step 4: Simplify right side
    287.48x = 81,067.89
  5. Step 5: Solve for x
    x = 81,067.89/287.48
  6. Step 6: Final answer
    x = 281.99

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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.