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Finding the Fourth Proportional to 406.32, 610.56 and 233.25

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Solution

The fourth proportional to 406.32, 610.56 and 233.25 is: 350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 610.56 = 233.25 : x
  2. Step 2: Convert to fraction form
    406.32/610.56 = 233.25/x
  3. Step 3: Cross multiply
    406.32x = 610.56 × 233.25
  4. Step 4: Simplify right side
    406.32x = 142,413.12
  5. Step 5: Solve for x
    x = 142,413.12/406.32
  6. Step 6: Final answer
    x = 350.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.