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Finding the Fourth Proportional to 329.81, 454.61 and 323.33

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Solution

The fourth proportional to 329.81, 454.61 and 323.33 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 454.61 = 323.33 : x
  2. Step 2: Convert to fraction form
    329.81/454.61 = 323.33/x
  3. Step 3: Cross multiply
    329.81x = 454.61 × 323.33
  4. Step 4: Simplify right side
    329.81x = 146,987.59
  5. Step 5: Solve for x
    x = 146,987.59/329.81
  6. Step 6: Final answer
    x = 445.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.