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Finding the Fourth Proportional to 846.28, 1,268.61 and 268.75

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Solution

The fourth proportional to 846.28, 1,268.61 and 268.75 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.28 : 1,268.61 = 268.75 : x
  2. Step 2: Convert to fraction form
    846.28/1,268.61 = 268.75/x
  3. Step 3: Cross multiply
    846.28x = 1,268.61 × 268.75
  4. Step 4: Simplify right side
    846.28x = 340,938.94
  5. Step 5: Solve for x
    x = 340,938.94/846.28
  6. Step 6: Final answer
    x = 402.87

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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.