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Finding the Fourth Proportional to 654.99, 982.43 and 380.90

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Solution

The fourth proportional to 654.99, 982.43 and 380.90 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.99 : 982.43 = 380.90 : x
  2. Step 2: Convert to fraction form
    654.99/982.43 = 380.90/x
  3. Step 3: Cross multiply
    654.99x = 982.43 × 380.90
  4. Step 4: Simplify right side
    654.99x = 374,209.57
  5. Step 5: Solve for x
    x = 374,209.57/654.99
  6. Step 6: Final answer
    x = 571.32

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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.