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Finding the Fourth Proportional to 419.54, 629.34 and 130.97

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Solution

The fourth proportional to 419.54, 629.34 and 130.97 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.34 = 130.97 : x
  2. Step 2: Convert to fraction form
    419.54/629.34 = 130.97/x
  3. Step 3: Cross multiply
    419.54x = 629.34 × 130.97
  4. Step 4: Simplify right side
    419.54x = 82,421.51
  5. Step 5: Solve for x
    x = 82,421.51/419.54
  6. Step 6: Final answer
    x = 196.46

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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.