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Finding the Fourth Proportional to 982.27, 1,473.23 and 288.92

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Solution

The fourth proportional to 982.27, 1,473.23 and 288.92 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.27 : 1,473.23 = 288.92 : x
  2. Step 2: Convert to fraction form
    982.27/1,473.23 = 288.92/x
  3. Step 3: Cross multiply
    982.27x = 1,473.23 × 288.92
  4. Step 4: Simplify right side
    982.27x = 425,647.85
  5. Step 5: Solve for x
    x = 425,647.85/982.27
  6. Step 6: Final answer
    x = 433.33

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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.