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Finding the Fourth Proportional to 982.05, 1,473.21 and 323.70

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Solution

The fourth proportional to 982.05, 1,473.21 and 323.70 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.05 : 1,473.21 = 323.70 : x
  2. Step 2: Convert to fraction form
    982.05/1,473.21 = 323.70/x
  3. Step 3: Cross multiply
    982.05x = 1,473.21 × 323.70
  4. Step 4: Simplify right side
    982.05x = 476,878.08
  5. Step 5: Solve for x
    x = 476,878.08/982.05
  6. Step 6: Final answer
    x = 485.59

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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.