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Finding the Fourth Proportional to 453.75, 680.21 and 413.67

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Solution

The fourth proportional to 453.75, 680.21 and 413.67 is: 620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.75 : 680.21 = 413.67 : x
  2. Step 2: Convert to fraction form
    453.75/680.21 = 413.67/x
  3. Step 3: Cross multiply
    453.75x = 680.21 × 413.67
  4. Step 4: Simplify right side
    453.75x = 281,380.40
  5. Step 5: Solve for x
    x = 281,380.40/453.75
  6. Step 6: Final answer
    x = 620.12

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Why These Related Problems?

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