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Finding the Fourth Proportional to 492.89, 738.93 and 204.53

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Solution

The fourth proportional to 492.89, 738.93 and 204.53 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 738.93 = 204.53 : x
  2. Step 2: Convert to fraction form
    492.89/738.93 = 204.53/x
  3. Step 3: Cross multiply
    492.89x = 738.93 × 204.53
  4. Step 4: Simplify right side
    492.89x = 151,133.35
  5. Step 5: Solve for x
    x = 151,133.35/492.89
  6. Step 6: Final answer
    x = 306.63

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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.