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Finding the Fourth Proportional to 297.23, 409.74 and 208.44

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Solution

The fourth proportional to 297.23, 409.74 and 208.44 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 409.74 = 208.44 : x
  2. Step 2: Convert to fraction form
    297.23/409.74 = 208.44/x
  3. Step 3: Cross multiply
    297.23x = 409.74 × 208.44
  4. Step 4: Simplify right side
    297.23x = 85,403.11
  5. Step 5: Solve for x
    x = 85,403.11/297.23
  6. Step 6: Final answer
    x = 287.33

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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.