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Finding the Fourth Proportional to 299.22, 448.50 and 274.92

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Solution

The fourth proportional to 299.22, 448.50 and 274.92 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 448.50 = 274.92 : x
  2. Step 2: Convert to fraction form
    299.22/448.50 = 274.92/x
  3. Step 3: Cross multiply
    299.22x = 448.50 × 274.92
  4. Step 4: Simplify right side
    299.22x = 123,301.62
  5. Step 5: Solve for x
    x = 123,301.62/299.22
  6. Step 6: Final answer
    x = 412.08

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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.