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Finding the Fourth Proportional to 297.58, 408.94 and 245.02

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Solution

The fourth proportional to 297.58, 408.94 and 245.02 is: 336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 408.94 = 245.02 : x
  2. Step 2: Convert to fraction form
    297.58/408.94 = 245.02/x
  3. Step 3: Cross multiply
    297.58x = 408.94 × 245.02
  4. Step 4: Simplify right side
    297.58x = 100,198.48
  5. Step 5: Solve for x
    x = 100,198.48/297.58
  6. Step 6: Final answer
    x = 336.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.