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Finding the Fourth Proportional to 408.46, 613.91 and 359.86

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Solution

The fourth proportional to 408.46, 613.91 and 359.86 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.46 : 613.91 = 359.86 : x
  2. Step 2: Convert to fraction form
    408.46/613.91 = 359.86/x
  3. Step 3: Cross multiply
    408.46x = 613.91 × 359.86
  4. Step 4: Simplify right side
    408.46x = 220,921.65
  5. Step 5: Solve for x
    x = 220,921.65/408.46
  6. Step 6: Final answer
    x = 540.86

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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.