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Finding the Fourth Proportional to 484.23, 668.19 and 274.41

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Solution

The fourth proportional to 484.23, 668.19 and 274.41 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 668.19 = 274.41 : x
  2. Step 2: Convert to fraction form
    484.23/668.19 = 274.41/x
  3. Step 3: Cross multiply
    484.23x = 668.19 × 274.41
  4. Step 4: Simplify right side
    484.23x = 183,358.02
  5. Step 5: Solve for x
    x = 183,358.02/484.23
  6. Step 6: Final answer
    x = 378.66

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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.