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Finding the Fourth Proportional to 413.24, 570.33 and 236.24

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Solution

The fourth proportional to 413.24, 570.33 and 236.24 is: 326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 570.33 = 236.24 : x
  2. Step 2: Convert to fraction form
    413.24/570.33 = 236.24/x
  3. Step 3: Cross multiply
    413.24x = 570.33 × 236.24
  4. Step 4: Simplify right side
    413.24x = 134,731.02
  5. Step 5: Solve for x
    x = 134,731.02/413.24
  6. Step 6: Final answer
    x = 326.03

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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.