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Finding the Fourth Proportional to 982.10, 1,473.40 and 365.84

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Solution

The fourth proportional to 982.10, 1,473.40 and 365.84 is: 548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.10 : 1,473.40 = 365.84 : x
  2. Step 2: Convert to fraction form
    982.10/1,473.40 = 365.84/x
  3. Step 3: Cross multiply
    982.10x = 1,473.40 × 365.84
  4. Step 4: Simplify right side
    982.10x = 539,028.66
  5. Step 5: Solve for x
    x = 539,028.66/982.10
  6. Step 6: Final answer
    x = 548.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.