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Finding the Fourth Proportional to 275.60, 413.04 and 211.16

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Solution

The fourth proportional to 275.60, 413.04 and 211.16 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.60 : 413.04 = 211.16 : x
  2. Step 2: Convert to fraction form
    275.60/413.04 = 211.16/x
  3. Step 3: Cross multiply
    275.60x = 413.04 × 211.16
  4. Step 4: Simplify right side
    275.60x = 87,217.53
  5. Step 5: Solve for x
    x = 87,217.53/275.60
  6. Step 6: Final answer
    x = 316.46

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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.