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Finding the Fourth Proportional to 326.77, 492.37 and 270.25

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Solution

The fourth proportional to 326.77, 492.37 and 270.25 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.77 : 492.37 = 270.25 : x
  2. Step 2: Convert to fraction form
    326.77/492.37 = 270.25/x
  3. Step 3: Cross multiply
    326.77x = 492.37 × 270.25
  4. Step 4: Simplify right side
    326.77x = 133,062.99
  5. Step 5: Solve for x
    x = 133,062.99/326.77
  6. Step 6: Final answer
    x = 407.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.