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Finding the Fourth Proportional to 297.08, 409.57 and 208.44

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Solution

The fourth proportional to 297.08, 409.57 and 208.44 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.08 : 409.57 = 208.44 : x
  2. Step 2: Convert to fraction form
    297.08/409.57 = 208.44/x
  3. Step 3: Cross multiply
    297.08x = 409.57 × 208.44
  4. Step 4: Simplify right side
    297.08x = 85,370.77
  5. Step 5: Solve for x
    x = 85,370.77/297.08
  6. Step 6: Final answer
    x = 287.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.