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Finding the Fourth Proportional to 299.46, 450.69 and 269.64

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Solution

The fourth proportional to 299.46, 450.69 and 269.64 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 450.69 = 269.64 : x
  2. Step 2: Convert to fraction form
    299.46/450.69 = 269.64/x
  3. Step 3: Cross multiply
    299.46x = 450.69 × 269.64
  4. Step 4: Simplify right side
    299.46x = 121,524.05
  5. Step 5: Solve for x
    x = 121,524.05/299.46
  6. Step 6: Final answer
    x = 405.81

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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.