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Finding the Fourth Proportional to 299.58, 449.27 and 280.14

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Solution

The fourth proportional to 299.58, 449.27 and 280.14 is: 420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 449.27 = 280.14 : x
  2. Step 2: Convert to fraction form
    299.58/449.27 = 280.14/x
  3. Step 3: Cross multiply
    299.58x = 449.27 × 280.14
  4. Step 4: Simplify right side
    299.58x = 125,858.50
  5. Step 5: Solve for x
    x = 125,858.50/299.58
  6. Step 6: Final answer
    x = 420.12

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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.