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Finding the Fourth Proportional to 433.99, 650.31 and 388.09

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Solution

The fourth proportional to 433.99, 650.31 and 388.09 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.99 : 650.31 = 388.09 : x
  2. Step 2: Convert to fraction form
    433.99/650.31 = 388.09/x
  3. Step 3: Cross multiply
    433.99x = 650.31 × 388.09
  4. Step 4: Simplify right side
    433.99x = 252,378.81
  5. Step 5: Solve for x
    x = 252,378.81/433.99
  6. Step 6: Final answer
    x = 581.53

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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.