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Finding the Fourth Proportional to 413.22, 570.16 and 236.14

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Solution

The fourth proportional to 413.22, 570.16 and 236.14 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 570.16 = 236.14 : x
  2. Step 2: Convert to fraction form
    413.22/570.16 = 236.14/x
  3. Step 3: Cross multiply
    413.22x = 570.16 × 236.14
  4. Step 4: Simplify right side
    413.22x = 134,637.58
  5. Step 5: Solve for x
    x = 134,637.58/413.22
  6. Step 6: Final answer
    x = 325.83

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Why These Related Problems?

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