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Finding the Fourth Proportional to 846.12, 1,268.94 and 333

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Solution

The fourth proportional to 846.12, 1,268.94 and 333 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.12 : 1,268.94 = 333 : x
  2. Step 2: Convert to fraction form
    846.12/1,268.94 = 333/x
  3. Step 3: Cross multiply
    846.12x = 1,268.94 × 333
  4. Step 4: Simplify right side
    846.12x = 422,557.02
  5. Step 5: Solve for x
    x = 422,557.02/846.12
  6. Step 6: Final answer
    x = 499.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.