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Finding the Fourth Proportional to 656.26, 984.44 and 194.01

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Solution

The fourth proportional to 656.26, 984.44 and 194.01 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.26 : 984.44 = 194.01 : x
  2. Step 2: Convert to fraction form
    656.26/984.44 = 194.01/x
  3. Step 3: Cross multiply
    656.26x = 984.44 × 194.01
  4. Step 4: Simplify right side
    656.26x = 190,991.20
  5. Step 5: Solve for x
    x = 190,991.20/656.26
  6. Step 6: Final answer
    x = 291.03

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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.