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Finding the Fourth Proportional to 609.27, 840.60 and 360.68

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Solution

The fourth proportional to 609.27, 840.60 and 360.68 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.27 : 840.60 = 360.68 : x
  2. Step 2: Convert to fraction form
    609.27/840.60 = 360.68/x
  3. Step 3: Cross multiply
    609.27x = 840.60 × 360.68
  4. Step 4: Simplify right side
    609.27x = 303,183.41
  5. Step 5: Solve for x
    x = 303,183.41/609.27
  6. Step 6: Final answer
    x = 497.62

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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.