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Finding the Fourth Proportional to 303.30, 453.84 and 200.43

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Solution

The fourth proportional to 303.30, 453.84 and 200.43 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 453.84 = 200.43 : x
  2. Step 2: Convert to fraction form
    303.30/453.84 = 200.43/x
  3. Step 3: Cross multiply
    303.30x = 453.84 × 200.43
  4. Step 4: Simplify right side
    303.30x = 90,963.15
  5. Step 5: Solve for x
    x = 90,963.15/303.30
  6. Step 6: Final answer
    x = 299.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.