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Finding the Fourth Proportional to 494.67, 682.66 and 369.23

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Solution

The fourth proportional to 494.67, 682.66 and 369.23 is: 509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 682.66 = 369.23 : x
  2. Step 2: Convert to fraction form
    494.67/682.66 = 369.23/x
  3. Step 3: Cross multiply
    494.67x = 682.66 × 369.23
  4. Step 4: Simplify right side
    494.67x = 252,055.60
  5. Step 5: Solve for x
    x = 252,055.60/494.67
  6. Step 6: Final answer
    x = 509.54

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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.