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Finding the Fourth Proportional to 466.82, 640.77 and 413.20

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Solution

The fourth proportional to 466.82, 640.77 and 413.20 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.82 : 640.77 = 413.20 : x
  2. Step 2: Convert to fraction form
    466.82/640.77 = 413.20/x
  3. Step 3: Cross multiply
    466.82x = 640.77 × 413.20
  4. Step 4: Simplify right side
    466.82x = 264,766.11
  5. Step 5: Solve for x
    x = 264,766.11/466.82
  6. Step 6: Final answer
    x = 567.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.