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Finding the Fourth Proportional to 298.32, 411.78 and 200.04

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Solution

The fourth proportional to 298.32, 411.78 and 200.04 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 411.78 = 200.04 : x
  2. Step 2: Convert to fraction form
    298.32/411.78 = 200.04/x
  3. Step 3: Cross multiply
    298.32x = 411.78 × 200.04
  4. Step 4: Simplify right side
    298.32x = 82,372.47
  5. Step 5: Solve for x
    x = 82,372.47/298.32
  6. Step 6: Final answer
    x = 276.12

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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.