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Finding the Fourth Proportional to 297.44, 446.18 and 275.58

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Solution

The fourth proportional to 297.44, 446.18 and 275.58 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 446.18 = 275.58 : x
  2. Step 2: Convert to fraction form
    297.44/446.18 = 275.58/x
  3. Step 3: Cross multiply
    297.44x = 446.18 × 275.58
  4. Step 4: Simplify right side
    297.44x = 122,958.28
  5. Step 5: Solve for x
    x = 122,958.28/297.44
  6. Step 6: Final answer
    x = 413.39

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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.