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Finding the Fourth Proportional to 299.86, 449.67 and 277.90

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Solution

The fourth proportional to 299.86, 449.67 and 277.90 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 449.67 = 277.90 : x
  2. Step 2: Convert to fraction form
    299.86/449.67 = 277.90/x
  3. Step 3: Cross multiply
    299.86x = 449.67 × 277.90
  4. Step 4: Simplify right side
    299.86x = 124,963.29
  5. Step 5: Solve for x
    x = 124,963.29/299.86
  6. Step 6: Final answer
    x = 416.74

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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.