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Finding the Fourth Proportional to 389.59, 534.41 and 381.49

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Solution

The fourth proportional to 389.59, 534.41 and 381.49 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.59 : 534.41 = 381.49 : x
  2. Step 2: Convert to fraction form
    389.59/534.41 = 381.49/x
  3. Step 3: Cross multiply
    389.59x = 534.41 × 381.49
  4. Step 4: Simplify right side
    389.59x = 203,872.07
  5. Step 5: Solve for x
    x = 203,872.07/389.59
  6. Step 6: Final answer
    x = 523.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.