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Finding the Fourth Proportional to 620.12, 930.36 and 327.80

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Solution

The fourth proportional to 620.12, 930.36 and 327.80 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.12 : 930.36 = 327.80 : x
  2. Step 2: Convert to fraction form
    620.12/930.36 = 327.80/x
  3. Step 3: Cross multiply
    620.12x = 930.36 × 327.80
  4. Step 4: Simplify right side
    620.12x = 304,972.01
  5. Step 5: Solve for x
    x = 304,972.01/620.12
  6. Step 6: Final answer
    x = 491.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.