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Finding the Fourth Proportional to 319.15, 440.09 and 208.58

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Solution

The fourth proportional to 319.15, 440.09 and 208.58 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.09 = 208.58 : x
  2. Step 2: Convert to fraction form
    319.15/440.09 = 208.58/x
  3. Step 3: Cross multiply
    319.15x = 440.09 × 208.58
  4. Step 4: Simplify right side
    319.15x = 91,794.03
  5. Step 5: Solve for x
    x = 91,794.03/319.15
  6. Step 6: Final answer
    x = 287.62

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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.