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Finding the Fourth Proportional to 416.37, 624.54 and 196.93

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Solution

The fourth proportional to 416.37, 624.54 and 196.93 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 624.54 = 196.93 : x
  2. Step 2: Convert to fraction form
    416.37/624.54 = 196.93/x
  3. Step 3: Cross multiply
    416.37x = 624.54 × 196.93
  4. Step 4: Simplify right side
    416.37x = 122,992.18
  5. Step 5: Solve for x
    x = 122,992.18/416.37
  6. Step 6: Final answer
    x = 295.39

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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.