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Finding the Fourth Proportional to 484.15, 667.95 and 274.30

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Solution

The fourth proportional to 484.15, 667.95 and 274.30 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.15 : 667.95 = 274.30 : x
  2. Step 2: Convert to fraction form
    484.15/667.95 = 274.30/x
  3. Step 3: Cross multiply
    484.15x = 667.95 × 274.30
  4. Step 4: Simplify right side
    484.15x = 183,218.69
  5. Step 5: Solve for x
    x = 183,218.69/484.15
  6. Step 6: Final answer
    x = 378.43

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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.