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Finding the Fourth Proportional to 498.44, 747.46 and 205.98

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Solution

The fourth proportional to 498.44, 747.46 and 205.98 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 747.46 = 205.98 : x
  2. Step 2: Convert to fraction form
    498.44/747.46 = 205.98/x
  3. Step 3: Cross multiply
    498.44x = 747.46 × 205.98
  4. Step 4: Simplify right side
    498.44x = 153,965.57
  5. Step 5: Solve for x
    x = 153,965.57/498.44
  6. Step 6: Final answer
    x = 308.90

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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.