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Finding the Fourth Proportional to 380.29, 523.43 and 317.41

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Solution

The fourth proportional to 380.29, 523.43 and 317.41 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.29 : 523.43 = 317.41 : x
  2. Step 2: Convert to fraction form
    380.29/523.43 = 317.41/x
  3. Step 3: Cross multiply
    380.29x = 523.43 × 317.41
  4. Step 4: Simplify right side
    380.29x = 166,141.40
  5. Step 5: Solve for x
    x = 166,141.40/380.29
  6. Step 6: Final answer
    x = 436.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.