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Finding the Fourth Proportional to 326.60, 453.74 and 323.60

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Solution

The fourth proportional to 326.60, 453.74 and 323.60 is: 449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 453.74 = 323.60 : x
  2. Step 2: Convert to fraction form
    326.60/453.74 = 323.60/x
  3. Step 3: Cross multiply
    326.60x = 453.74 × 323.60
  4. Step 4: Simplify right side
    326.60x = 146,830.26
  5. Step 5: Solve for x
    x = 146,830.26/326.60
  6. Step 6: Final answer
    x = 449.57

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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.