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Finding the Fourth Proportional to 319.56, 441.26 and 257.19

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Solution

The fourth proportional to 319.56, 441.26 and 257.19 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.56 : 441.26 = 257.19 : x
  2. Step 2: Convert to fraction form
    319.56/441.26 = 257.19/x
  3. Step 3: Cross multiply
    319.56x = 441.26 × 257.19
  4. Step 4: Simplify right side
    319.56x = 113,488.99
  5. Step 5: Solve for x
    x = 113,488.99/319.56
  6. Step 6: Final answer
    x = 355.14

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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.