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Finding the Fourth Proportional to 288.35, 397.61 and 204.41

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Solution

The fourth proportional to 288.35, 397.61 and 204.41 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 397.61 = 204.41 : x
  2. Step 2: Convert to fraction form
    288.35/397.61 = 204.41/x
  3. Step 3: Cross multiply
    288.35x = 397.61 × 204.41
  4. Step 4: Simplify right side
    288.35x = 81,272.45
  5. Step 5: Solve for x
    x = 81,272.45/288.35
  6. Step 6: Final answer
    x = 281.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.