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Finding the Fourth Proportional to 620.82, 931.44 and 413.42

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Solution

The fourth proportional to 620.82, 931.44 and 413.42 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.82 : 931.44 = 413.42 : x
  2. Step 2: Convert to fraction form
    620.82/931.44 = 413.42/x
  3. Step 3: Cross multiply
    620.82x = 931.44 × 413.42
  4. Step 4: Simplify right side
    620.82x = 385,072.30
  5. Step 5: Solve for x
    x = 385,072.30/620.82
  6. Step 6: Final answer
    x = 620.27

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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.