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Finding the Fourth Proportional to 496.26, 684.85 and 275.23

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Solution

The fourth proportional to 496.26, 684.85 and 275.23 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 684.85 = 275.23 : x
  2. Step 2: Convert to fraction form
    496.26/684.85 = 275.23/x
  3. Step 3: Cross multiply
    496.26x = 684.85 × 275.23
  4. Step 4: Simplify right side
    496.26x = 188,489.89
  5. Step 5: Solve for x
    x = 188,489.89/496.26
  6. Step 6: Final answer
    x = 379.82

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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.