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Finding the Fourth Proportional to 287.94, 396.78 and 204.90

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Solution

The fourth proportional to 287.94, 396.78 and 204.90 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.94 : 396.78 = 204.90 : x
  2. Step 2: Convert to fraction form
    287.94/396.78 = 204.90/x
  3. Step 3: Cross multiply
    287.94x = 396.78 × 204.90
  4. Step 4: Simplify right side
    287.94x = 81,300.22
  5. Step 5: Solve for x
    x = 81,300.22/287.94
  6. Step 6: Final answer
    x = 282.35

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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.