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Finding the Fourth Proportional to 445.70, 668.55 and 413.30

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Solution

The fourth proportional to 445.70, 668.55 and 413.30 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.70 : 668.55 = 413.30 : x
  2. Step 2: Convert to fraction form
    445.70/668.55 = 413.30/x
  3. Step 3: Cross multiply
    445.70x = 668.55 × 413.30
  4. Step 4: Simplify right side
    445.70x = 276,311.72
  5. Step 5: Solve for x
    x = 276,311.72/445.70
  6. Step 6: Final answer
    x = 619.95

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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.