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Finding the Fourth Proportional to 496.26, 685.06 and 365.65

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Solution

The fourth proportional to 496.26, 685.06 and 365.65 is: 504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 685.06 = 365.65 : x
  2. Step 2: Convert to fraction form
    496.26/685.06 = 365.65/x
  3. Step 3: Cross multiply
    496.26x = 685.06 × 365.65
  4. Step 4: Simplify right side
    496.26x = 250,489.56
  5. Step 5: Solve for x
    x = 250,489.56/496.26
  6. Step 6: Final answer
    x = 504.75

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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.