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Finding the Fourth Proportional to 650.20, 973.68 and 361.03

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Solution

The fourth proportional to 650.20, 973.68 and 361.03 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 973.68 = 361.03 : x
  2. Step 2: Convert to fraction form
    650.20/973.68 = 361.03/x
  3. Step 3: Cross multiply
    650.20x = 973.68 × 361.03
  4. Step 4: Simplify right side
    650.20x = 351,527.69
  5. Step 5: Solve for x
    x = 351,527.69/650.20
  6. Step 6: Final answer
    x = 540.65

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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.