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Finding the Fourth Proportional to 496.01, 684.49 and 274.96

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Solution

The fourth proportional to 496.01, 684.49 and 274.96 is: 379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.01 : 684.49 = 274.96 : x
  2. Step 2: Convert to fraction form
    496.01/684.49 = 274.96/x
  3. Step 3: Cross multiply
    496.01x = 684.49 × 274.96
  4. Step 4: Simplify right side
    496.01x = 188,207.37
  5. Step 5: Solve for x
    x = 188,207.37/496.01
  6. Step 6: Final answer
    x = 379.44

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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.