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Finding the Fourth Proportional to 274.60, 412.02 and 214.23

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Solution

The fourth proportional to 274.60, 412.02 and 214.23 is: 321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.60 : 412.02 = 214.23 : x
  2. Step 2: Convert to fraction form
    274.60/412.02 = 214.23/x
  3. Step 3: Cross multiply
    274.60x = 412.02 × 214.23
  4. Step 4: Simplify right side
    274.60x = 88,267.04
  5. Step 5: Solve for x
    x = 88,267.04/274.60
  6. Step 6: Final answer
    x = 321.44

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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.