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Finding the Fourth Proportional to 300.76, 453.77 and 299.96

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Solution

The fourth proportional to 300.76, 453.77 and 299.96 is: 452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 453.77 = 299.96 : x
  2. Step 2: Convert to fraction form
    300.76/453.77 = 299.96/x
  3. Step 3: Cross multiply
    300.76x = 453.77 × 299.96
  4. Step 4: Simplify right side
    300.76x = 136,112.85
  5. Step 5: Solve for x
    x = 136,112.85/300.76
  6. Step 6: Final answer
    x = 452.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.