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Finding the Fourth Proportional to 413.32, 570.49 and 236.37

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Solution

The fourth proportional to 413.32, 570.49 and 236.37 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 570.49 = 236.37 : x
  2. Step 2: Convert to fraction form
    413.32/570.49 = 236.37/x
  3. Step 3: Cross multiply
    413.32x = 570.49 × 236.37
  4. Step 4: Simplify right side
    413.32x = 134,846.39
  5. Step 5: Solve for x
    x = 134,846.39/413.32
  6. Step 6: Final answer
    x = 326.25

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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.