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Finding the Fourth Proportional to 466.27, 643.08 and 413.85

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Solution

The fourth proportional to 466.27, 643.08 and 413.85 is: 570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.27 : 643.08 = 413.85 : x
  2. Step 2: Convert to fraction form
    466.27/643.08 = 413.85/x
  3. Step 3: Cross multiply
    466.27x = 643.08 × 413.85
  4. Step 4: Simplify right side
    466.27x = 266,138.66
  5. Step 5: Solve for x
    x = 266,138.66/466.27
  6. Step 6: Final answer
    x = 570.78

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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.