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Finding the Fourth Proportional to 654.92, 982.34 and 289.62

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Solution

The fourth proportional to 654.92, 982.34 and 289.62 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 982.34 = 289.62 : x
  2. Step 2: Convert to fraction form
    654.92/982.34 = 289.62/x
  3. Step 3: Cross multiply
    654.92x = 982.34 × 289.62
  4. Step 4: Simplify right side
    654.92x = 284,505.31
  5. Step 5: Solve for x
    x = 284,505.31/654.92
  6. Step 6: Final answer
    x = 434.41

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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.