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Finding the Fourth Proportional to 319.28, 441.24 and 302.84

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Solution

The fourth proportional to 319.28, 441.24 and 302.84 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 441.24 = 302.84 : x
  2. Step 2: Convert to fraction form
    319.28/441.24 = 302.84/x
  3. Step 3: Cross multiply
    319.28x = 441.24 × 302.84
  4. Step 4: Simplify right side
    319.28x = 133,625.12
  5. Step 5: Solve for x
    x = 133,625.12/319.28
  6. Step 6: Final answer
    x = 418.52

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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.