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Finding the Fourth Proportional to 609.11, 840.69 and 360.44

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Solution

The fourth proportional to 609.11, 840.69 and 360.44 is: 497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.11 : 840.69 = 360.44 : x
  2. Step 2: Convert to fraction form
    609.11/840.69 = 360.44/x
  3. Step 3: Cross multiply
    609.11x = 840.69 × 360.44
  4. Step 4: Simplify right side
    609.11x = 303,018.30
  5. Step 5: Solve for x
    x = 303,018.30/609.11
  6. Step 6: Final answer
    x = 497.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.