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Finding the Fourth Proportional to 326.92, 492.32 and 275.89

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Solution

The fourth proportional to 326.92, 492.32 and 275.89 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 492.32 = 275.89 : x
  2. Step 2: Convert to fraction form
    326.92/492.32 = 275.89/x
  3. Step 3: Cross multiply
    326.92x = 492.32 × 275.89
  4. Step 4: Simplify right side
    326.92x = 135,826.16
  5. Step 5: Solve for x
    x = 135,826.16/326.92
  6. Step 6: Final answer
    x = 415.47

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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.