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Finding the Fourth Proportional to 419.51, 629.29 and 111.37

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Solution

The fourth proportional to 419.51, 629.29 and 111.37 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.51 : 629.29 = 111.37 : x
  2. Step 2: Convert to fraction form
    419.51/629.29 = 111.37/x
  3. Step 3: Cross multiply
    419.51x = 629.29 × 111.37
  4. Step 4: Simplify right side
    419.51x = 70,084.03
  5. Step 5: Solve for x
    x = 70,084.03/419.51
  6. Step 6: Final answer
    x = 167.06

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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.