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Finding the Fourth Proportional to 275.41, 413.00 and 172.54

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Solution

The fourth proportional to 275.41, 413.00 and 172.54 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.41 : 413.00 = 172.54 : x
  2. Step 2: Convert to fraction form
    275.41/413.00 = 172.54/x
  3. Step 3: Cross multiply
    275.41x = 413.00 × 172.54
  4. Step 4: Simplify right side
    275.41x = 71,256.09
  5. Step 5: Solve for x
    x = 71,256.09/275.41
  6. Step 6: Final answer
    x = 258.73

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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.