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Finding the Fourth Proportional to 275.67, 413.10 and 214.50

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Solution

The fourth proportional to 275.67, 413.10 and 214.50 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 413.10 = 214.50 : x
  2. Step 2: Convert to fraction form
    275.67/413.10 = 214.50/x
  3. Step 3: Cross multiply
    275.67x = 413.10 × 214.50
  4. Step 4: Simplify right side
    275.67x = 88,609.95
  5. Step 5: Solve for x
    x = 88,609.95/275.67
  6. Step 6: Final answer
    x = 321.43

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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.