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Finding the Fourth Proportional to 947.44, 1,420.92 and 298.12

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Solution

The fourth proportional to 947.44, 1,420.92 and 298.12 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.44 : 1,420.92 = 298.12 : x
  2. Step 2: Convert to fraction form
    947.44/1,420.92 = 298.12/x
  3. Step 3: Cross multiply
    947.44x = 1,420.92 × 298.12
  4. Step 4: Simplify right side
    947.44x = 423,604.67
  5. Step 5: Solve for x
    x = 423,604.67/947.44
  6. Step 6: Final answer
    x = 447.10

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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.