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Finding the Fourth Proportional to 466.67, 703.67 and 413.21

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Solution

The fourth proportional to 466.67, 703.67 and 413.21 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.67 : 703.67 = 413.21 : x
  2. Step 2: Convert to fraction form
    466.67/703.67 = 413.21/x
  3. Step 3: Cross multiply
    466.67x = 703.67 × 413.21
  4. Step 4: Simplify right side
    466.67x = 290,763.48
  5. Step 5: Solve for x
    x = 290,763.48/466.67
  6. Step 6: Final answer
    x = 623.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.