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Finding the Fourth Proportional to 654.86, 982.23 and 329.97

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Solution

The fourth proportional to 654.86, 982.23 and 329.97 is: 494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 982.23 = 329.97 : x
  2. Step 2: Convert to fraction form
    654.86/982.23 = 329.97/x
  3. Step 3: Cross multiply
    654.86x = 982.23 × 329.97
  4. Step 4: Simplify right side
    654.86x = 324,106.43
  5. Step 5: Solve for x
    x = 324,106.43/654.86
  6. Step 6: Final answer
    x = 494.93

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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.