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Finding the Fourth Proportional to 484.27, 668.28 and 274.44

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Solution

The fourth proportional to 484.27, 668.28 and 274.44 is: 378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.27 : 668.28 = 274.44 : x
  2. Step 2: Convert to fraction form
    484.27/668.28 = 274.44/x
  3. Step 3: Cross multiply
    484.27x = 668.28 × 274.44
  4. Step 4: Simplify right side
    484.27x = 183,402.76
  5. Step 5: Solve for x
    x = 183,402.76/484.27
  6. Step 6: Final answer
    x = 378.72

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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.