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Finding the Fourth Proportional to 413.06, 569.96 and 235.99

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Solution

The fourth proportional to 413.06, 569.96 and 235.99 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 569.96 = 235.99 : x
  2. Step 2: Convert to fraction form
    413.06/569.96 = 235.99/x
  3. Step 3: Cross multiply
    413.06x = 569.96 × 235.99
  4. Step 4: Simplify right side
    413.06x = 134,504.86
  5. Step 5: Solve for x
    x = 134,504.86/413.06
  6. Step 6: Final answer
    x = 325.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.