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Finding the Fourth Proportional to 319.15, 440.86 and 257.22

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Solution

The fourth proportional to 319.15, 440.86 and 257.22 is: 355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.86 = 257.22 : x
  2. Step 2: Convert to fraction form
    319.15/440.86 = 257.22/x
  3. Step 3: Cross multiply
    319.15x = 440.86 × 257.22
  4. Step 4: Simplify right side
    319.15x = 113,398.01
  5. Step 5: Solve for x
    x = 113,398.01/319.15
  6. Step 6: Final answer
    x = 355.31

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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.