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Finding the Fourth Proportional to 413.54, 620.40 and 194

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Solution

The fourth proportional to 413.54, 620.40 and 194 is: 291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 620.40 = 194 : x
  2. Step 2: Convert to fraction form
    413.54/620.40 = 194/x
  3. Step 3: Cross multiply
    413.54x = 620.40 × 194
  4. Step 4: Simplify right side
    413.54x = 120,357.60
  5. Step 5: Solve for x
    x = 120,357.60/413.54
  6. Step 6: Final answer
    x = 291.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.