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Finding the Fourth Proportional to 484.24, 668.22 and 274.42

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Solution

The fourth proportional to 484.24, 668.22 and 274.42 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.24 : 668.22 = 274.42 : x
  2. Step 2: Convert to fraction form
    484.24/668.22 = 274.42/x
  3. Step 3: Cross multiply
    484.24x = 668.22 × 274.42
  4. Step 4: Simplify right side
    484.24x = 183,372.93
  5. Step 5: Solve for x
    x = 183,372.93/484.24
  6. Step 6: Final answer
    x = 378.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.