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Finding the Fourth Proportional to 414.26, 621.31 and 125.63

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Solution

The fourth proportional to 414.26, 621.31 and 125.63 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 621.31 = 125.63 : x
  2. Step 2: Convert to fraction form
    414.26/621.31 = 125.63/x
  3. Step 3: Cross multiply
    414.26x = 621.31 × 125.63
  4. Step 4: Simplify right side
    414.26x = 78,055.18
  5. Step 5: Solve for x
    x = 78,055.18/414.26
  6. Step 6: Final answer
    x = 188.42

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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.