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Finding the Fourth Proportional to 492.67, 738.53 and 184.44

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Solution

The fourth proportional to 492.67, 738.53 and 184.44 is: 276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 738.53 = 184.44 : x
  2. Step 2: Convert to fraction form
    492.67/738.53 = 184.44/x
  3. Step 3: Cross multiply
    492.67x = 738.53 × 184.44
  4. Step 4: Simplify right side
    492.67x = 136,213.55
  5. Step 5: Solve for x
    x = 136,213.55/492.67
  6. Step 6: Final answer
    x = 276.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.