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Finding the Fourth Proportional to 484.05, 667.93 and 274.24

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Solution

The fourth proportional to 484.05, 667.93 and 274.24 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.05 : 667.93 = 274.24 : x
  2. Step 2: Convert to fraction form
    484.05/667.93 = 274.24/x
  3. Step 3: Cross multiply
    484.05x = 667.93 × 274.24
  4. Step 4: Simplify right side
    484.05x = 183,173.12
  5. Step 5: Solve for x
    x = 183,173.12/484.05
  6. Step 6: Final answer
    x = 378.42

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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.