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Finding the Fourth Proportional to 319.94, 440.43 and 287.18

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Solution

The fourth proportional to 319.94, 440.43 and 287.18 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.94 : 440.43 = 287.18 : x
  2. Step 2: Convert to fraction form
    319.94/440.43 = 287.18/x
  3. Step 3: Cross multiply
    319.94x = 440.43 × 287.18
  4. Step 4: Simplify right side
    319.94x = 126,482.69
  5. Step 5: Solve for x
    x = 126,482.69/319.94
  6. Step 6: Final answer
    x = 395.33

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