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Finding the Fourth Proportional to 492.27, 678.96 and 305.55

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Solution

The fourth proportional to 492.27, 678.96 and 305.55 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.27 : 678.96 = 305.55 : x
  2. Step 2: Convert to fraction form
    492.27/678.96 = 305.55/x
  3. Step 3: Cross multiply
    492.27x = 678.96 × 305.55
  4. Step 4: Simplify right side
    492.27x = 207,456.23
  5. Step 5: Solve for x
    x = 207,456.23/492.27
  6. Step 6: Final answer
    x = 421.43

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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.