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Finding the Fourth Proportional to 320.37, 481.16 and 204.94

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Solution

The fourth proportional to 320.37, 481.16 and 204.94 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.37 : 481.16 = 204.94 : x
  2. Step 2: Convert to fraction form
    320.37/481.16 = 204.94/x
  3. Step 3: Cross multiply
    320.37x = 481.16 × 204.94
  4. Step 4: Simplify right side
    320.37x = 98,608.93
  5. Step 5: Solve for x
    x = 98,608.93/320.37
  6. Step 6: Final answer
    x = 307.80

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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.