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Finding the Fourth Proportional to 609.37, 840.64 and 399.46

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Solution

The fourth proportional to 609.37, 840.64 and 399.46 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.37 : 840.64 = 399.46 : x
  2. Step 2: Convert to fraction form
    609.37/840.64 = 399.46/x
  3. Step 3: Cross multiply
    609.37x = 840.64 × 399.46
  4. Step 4: Simplify right side
    609.37x = 335,802.05
  5. Step 5: Solve for x
    x = 335,802.05/609.37
  6. Step 6: Final answer
    x = 551.06

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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.