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Finding the Fourth Proportional to 408.60, 609.39 and 365.40

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Solution

The fourth proportional to 408.60, 609.39 and 365.40 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 609.39 = 365.40 : x
  2. Step 2: Convert to fraction form
    408.60/609.39 = 365.40/x
  3. Step 3: Cross multiply
    408.60x = 609.39 × 365.40
  4. Step 4: Simplify right side
    408.60x = 222,671.11
  5. Step 5: Solve for x
    x = 222,671.11/408.60
  6. Step 6: Final answer
    x = 544.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.