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Finding the Fourth Proportional to 930.09, 1,394.24 and 443.01

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Solution

The fourth proportional to 930.09, 1,394.24 and 443.01 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.09 : 1,394.24 = 443.01 : x
  2. Step 2: Convert to fraction form
    930.09/1,394.24 = 443.01/x
  3. Step 3: Cross multiply
    930.09x = 1,394.24 × 443.01
  4. Step 4: Simplify right side
    930.09x = 617,660.05
  5. Step 5: Solve for x
    x = 617,660.05/930.09
  6. Step 6: Final answer
    x = 664.09

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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.