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Finding the Fourth Proportional to 327.18, 492.86 and 295.12

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Solution

The fourth proportional to 327.18, 492.86 and 295.12 is: 444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.18 : 492.86 = 295.12 : x
  2. Step 2: Convert to fraction form
    327.18/492.86 = 295.12/x
  3. Step 3: Cross multiply
    327.18x = 492.86 × 295.12
  4. Step 4: Simplify right side
    327.18x = 145,452.84
  5. Step 5: Solve for x
    x = 145,452.84/327.18
  6. Step 6: Final answer
    x = 444.57

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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.