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Finding the Fourth Proportional to 484.13, 668.04 and 274.31

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Solution

The fourth proportional to 484.13, 668.04 and 274.31 is: 378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.13 : 668.04 = 274.31 : x
  2. Step 2: Convert to fraction form
    484.13/668.04 = 274.31/x
  3. Step 3: Cross multiply
    484.13x = 668.04 × 274.31
  4. Step 4: Simplify right side
    484.13x = 183,250.05
  5. Step 5: Solve for x
    x = 183,250.05/484.13
  6. Step 6: Final answer
    x = 378.51

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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.