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Finding the Fourth Proportional to 319.40, 441.06 and 209

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Solution

The fourth proportional to 319.40, 441.06 and 209 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 441.06 = 209 : x
  2. Step 2: Convert to fraction form
    319.40/441.06 = 209/x
  3. Step 3: Cross multiply
    319.40x = 441.06 × 209
  4. Step 4: Simplify right side
    319.40x = 92,181.54
  5. Step 5: Solve for x
    x = 92,181.54/319.40
  6. Step 6: Final answer
    x = 288.61

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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.