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Finding the Fourth Proportional to 298.30, 411.64 and 200.04

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Solution

The fourth proportional to 298.30, 411.64 and 200.04 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.30 : 411.64 = 200.04 : x
  2. Step 2: Convert to fraction form
    298.30/411.64 = 200.04/x
  3. Step 3: Cross multiply
    298.30x = 411.64 × 200.04
  4. Step 4: Simplify right side
    298.30x = 82,343.97
  5. Step 5: Solve for x
    x = 82,343.97/298.30
  6. Step 6: Final answer
    x = 276.05

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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.