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Finding the Fourth Proportional to 419.37, 629 and 111.25

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Solution

The fourth proportional to 419.37, 629 and 111.25 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.37 : 629 = 111.25 : x
  2. Step 2: Convert to fraction form
    419.37/629 = 111.25/x
  3. Step 3: Cross multiply
    419.37x = 629 × 111.25
  4. Step 4: Simplify right side
    419.37x = 69,973.11
  5. Step 5: Solve for x
    x = 69,973.11/419.37
  6. Step 6: Final answer
    x = 166.85

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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.