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Finding the Fourth Proportional to 334.87, 464.33 and 323.33

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Solution

The fourth proportional to 334.87, 464.33 and 323.33 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.87 : 464.33 = 323.33 : x
  2. Step 2: Convert to fraction form
    334.87/464.33 = 323.33/x
  3. Step 3: Cross multiply
    334.87x = 464.33 × 323.33
  4. Step 4: Simplify right side
    334.87x = 150,130.31
  5. Step 5: Solve for x
    x = 150,130.31/334.87
  6. Step 6: Final answer
    x = 448.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.