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Finding the Fourth Proportional to 413.54, 570.61 and 236.42

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Solution

The fourth proportional to 413.54, 570.61 and 236.42 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 570.61 = 236.42 : x
  2. Step 2: Convert to fraction form
    413.54/570.61 = 236.42/x
  3. Step 3: Cross multiply
    413.54x = 570.61 × 236.42
  4. Step 4: Simplify right side
    413.54x = 134,903.20
  5. Step 5: Solve for x
    x = 134,903.20/413.54
  6. Step 6: Final answer
    x = 326.22

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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.