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Finding the Fourth Proportional to 408.70, 613.05 and 400.60

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Solution

The fourth proportional to 408.70, 613.05 and 400.60 is: 600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 613.05 = 400.60 : x
  2. Step 2: Convert to fraction form
    408.70/613.05 = 400.60/x
  3. Step 3: Cross multiply
    408.70x = 613.05 × 400.60
  4. Step 4: Simplify right side
    408.70x = 245,587.83
  5. Step 5: Solve for x
    x = 245,587.83/408.70
  6. Step 6: Final answer
    x = 600.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.