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Finding the Fourth Proportional to 654.62, 982.09 and 380.94

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Solution

The fourth proportional to 654.62, 982.09 and 380.94 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.62 : 982.09 = 380.94 : x
  2. Step 2: Convert to fraction form
    654.62/982.09 = 380.94/x
  3. Step 3: Cross multiply
    654.62x = 982.09 × 380.94
  4. Step 4: Simplify right side
    654.62x = 374,114.16
  5. Step 5: Solve for x
    x = 374,114.16/654.62
  6. Step 6: Final answer
    x = 571.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.