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Finding the Fourth Proportional to 982.23, 1,473.27 and 365.65

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Solution

The fourth proportional to 982.23, 1,473.27 and 365.65 is: 548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.23 : 1,473.27 = 365.65 : x
  2. Step 2: Convert to fraction form
    982.23/1,473.27 = 365.65/x
  3. Step 3: Cross multiply
    982.23x = 1,473.27 × 365.65
  4. Step 4: Simplify right side
    982.23x = 538,698.18
  5. Step 5: Solve for x
    x = 538,698.18/982.23
  6. Step 6: Final answer
    x = 548.45

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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.