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Finding the Fourth Proportional to 654.60, 982.59 and 395.24

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Solution

The fourth proportional to 654.60, 982.59 and 395.24 is: 593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 982.59 = 395.24 : x
  2. Step 2: Convert to fraction form
    654.60/982.59 = 395.24/x
  3. Step 3: Cross multiply
    654.60x = 982.59 × 395.24
  4. Step 4: Simplify right side
    654.60x = 388,353.96
  5. Step 5: Solve for x
    x = 388,353.96/654.60
  6. Step 6: Final answer
    x = 593.27

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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.