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Finding the Fourth Proportional to 274.68, 412.03 and 213.62

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Solution

The fourth proportional to 274.68, 412.03 and 213.62 is: 320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 412.03 = 213.62 : x
  2. Step 2: Convert to fraction form
    274.68/412.03 = 213.62/x
  3. Step 3: Cross multiply
    274.68x = 412.03 × 213.62
  4. Step 4: Simplify right side
    274.68x = 88,017.85
  5. Step 5: Solve for x
    x = 88,017.85/274.68
  6. Step 6: Final answer
    x = 320.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.