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Finding the Fourth Proportional to 480.35, 662.64 and 413.84

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Solution

The fourth proportional to 480.35, 662.64 and 413.84 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.35 : 662.64 = 413.84 : x
  2. Step 2: Convert to fraction form
    480.35/662.64 = 413.84/x
  3. Step 3: Cross multiply
    480.35x = 662.64 × 413.84
  4. Step 4: Simplify right side
    480.35x = 274,229.78
  5. Step 5: Solve for x
    x = 274,229.78/480.35
  6. Step 6: Final answer
    x = 570.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.