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Finding the Fourth Proportional to 982.38, 1,473.48 and 333.04

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Solution

The fourth proportional to 982.38, 1,473.48 and 333.04 is: 499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,473.48 = 333.04 : x
  2. Step 2: Convert to fraction form
    982.38/1,473.48 = 333.04/x
  3. Step 3: Cross multiply
    982.38x = 1,473.48 × 333.04
  4. Step 4: Simplify right side
    982.38x = 490,727.78
  5. Step 5: Solve for x
    x = 490,727.78/982.38
  6. Step 6: Final answer
    x = 499.53

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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.