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Finding the Fourth Proportional to 287.60, 397.02 and 204.80

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Solution

The fourth proportional to 287.60, 397.02 and 204.80 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 397.02 = 204.80 : x
  2. Step 2: Convert to fraction form
    287.60/397.02 = 204.80/x
  3. Step 3: Cross multiply
    287.60x = 397.02 × 204.80
  4. Step 4: Simplify right side
    287.60x = 81,309.70
  5. Step 5: Solve for x
    x = 81,309.70/287.60
  6. Step 6: Final answer
    x = 282.72

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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.