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Finding the Fourth Proportional to 605.24, 836.37 and 494.68

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Solution

The fourth proportional to 605.24, 836.37 and 494.68 is: 683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.24 : 836.37 = 494.68 : x
  2. Step 2: Convert to fraction form
    605.24/836.37 = 494.68/x
  3. Step 3: Cross multiply
    605.24x = 836.37 × 494.68
  4. Step 4: Simplify right side
    605.24x = 413,733.42
  5. Step 5: Solve for x
    x = 413,733.42/605.24
  6. Step 6: Final answer
    x = 683.58

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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.