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Finding the Fourth Proportional to 334.58, 464.09 and 323.51

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Solution

The fourth proportional to 334.58, 464.09 and 323.51 is: 448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.58 : 464.09 = 323.51 : x
  2. Step 2: Convert to fraction form
    334.58/464.09 = 323.51/x
  3. Step 3: Cross multiply
    334.58x = 464.09 × 323.51
  4. Step 4: Simplify right side
    334.58x = 150,139.72
  5. Step 5: Solve for x
    x = 150,139.72/334.58
  6. Step 6: Final answer
    x = 448.74

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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.