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Finding the Fourth Proportional to 299.64, 449.66 and 277.12

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Solution

The fourth proportional to 299.64, 449.66 and 277.12 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 449.66 = 277.12 : x
  2. Step 2: Convert to fraction form
    299.64/449.66 = 277.12/x
  3. Step 3: Cross multiply
    299.64x = 449.66 × 277.12
  4. Step 4: Simplify right side
    299.64x = 124,609.78
  5. Step 5: Solve for x
    x = 124,609.78/299.64
  6. Step 6: Final answer
    x = 415.86

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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.