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Finding the Fourth Proportional to 413.81, 620.14 and 310.98

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Solution

The fourth proportional to 413.81, 620.14 and 310.98 is: 466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 620.14 = 310.98 : x
  2. Step 2: Convert to fraction form
    413.81/620.14 = 310.98/x
  3. Step 3: Cross multiply
    413.81x = 620.14 × 310.98
  4. Step 4: Simplify right side
    413.81x = 192,848.99
  5. Step 5: Solve for x
    x = 192,848.99/413.81
  6. Step 6: Final answer
    x = 466.03

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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.