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Finding the Fourth Proportional to 298.09, 411.41 and 204.85

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Solution

The fourth proportional to 298.09, 411.41 and 204.85 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.41 = 204.85 : x
  2. Step 2: Convert to fraction form
    298.09/411.41 = 204.85/x
  3. Step 3: Cross multiply
    298.09x = 411.41 × 204.85
  4. Step 4: Simplify right side
    298.09x = 84,274.26
  5. Step 5: Solve for x
    x = 84,274.26/298.09
  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.