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Finding the Fourth Proportional to 654.80, 982.76 and 380.51

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Solution

The fourth proportional to 654.80, 982.76 and 380.51 is: 571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 982.76 = 380.51 : x
  2. Step 2: Convert to fraction form
    654.80/982.76 = 380.51/x
  3. Step 3: Cross multiply
    654.80x = 982.76 × 380.51
  4. Step 4: Simplify right side
    654.80x = 373,949.02
  5. Step 5: Solve for x
    x = 373,949.02/654.80
  6. Step 6: Final answer
    x = 571.09

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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.