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Finding the Fourth Proportional to 492.56, 738.36 and 203.60

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Solution

The fourth proportional to 492.56, 738.36 and 203.60 is: 305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.56 : 738.36 = 203.60 : x
  2. Step 2: Convert to fraction form
    492.56/738.36 = 203.60/x
  3. Step 3: Cross multiply
    492.56x = 738.36 × 203.60
  4. Step 4: Simplify right side
    492.56x = 150,330.10
  5. Step 5: Solve for x
    x = 150,330.10/492.56
  6. Step 6: Final answer
    x = 305.20

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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.