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Finding the Fourth Proportional to 846.05, 1,269.41 and 298.28

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Solution

The fourth proportional to 846.05, 1,269.41 and 298.28 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.05 : 1,269.41 = 298.28 : x
  2. Step 2: Convert to fraction form
    846.05/1,269.41 = 298.28/x
  3. Step 3: Cross multiply
    846.05x = 1,269.41 × 298.28
  4. Step 4: Simplify right side
    846.05x = 378,641.30
  5. Step 5: Solve for x
    x = 378,641.30/846.05
  6. Step 6: Final answer
    x = 447.54

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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.