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Finding the Fourth Proportional to 465.20, 697.20 and 413.60

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Solution

The fourth proportional to 465.20, 697.20 and 413.60 is: 619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.20 : 697.20 = 413.60 : x
  2. Step 2: Convert to fraction form
    465.20/697.20 = 413.60/x
  3. Step 3: Cross multiply
    465.20x = 697.20 × 413.60
  4. Step 4: Simplify right side
    465.20x = 288,361.92
  5. Step 5: Solve for x
    x = 288,361.92/465.20
  6. Step 6: Final answer
    x = 619.87

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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.