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Finding the Fourth Proportional to 930.29, 1,394.74 and 443.68

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Solution

The fourth proportional to 930.29, 1,394.74 and 443.68 is: 665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,394.74 = 443.68 : x
  2. Step 2: Convert to fraction form
    930.29/1,394.74 = 443.68/x
  3. Step 3: Cross multiply
    930.29x = 1,394.74 × 443.68
  4. Step 4: Simplify right side
    930.29x = 618,815.31
  5. Step 5: Solve for x
    x = 618,815.31/930.29
  6. Step 6: Final answer
    x = 665.19

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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.