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Finding the Fourth Proportional to 523.05, 721.89 and 376.17

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Solution

The fourth proportional to 523.05, 721.89 and 376.17 is: 519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 721.89 = 376.17 : x
  2. Step 2: Convert to fraction form
    523.05/721.89 = 376.17/x
  3. Step 3: Cross multiply
    523.05x = 721.89 × 376.17
  4. Step 4: Simplify right side
    523.05x = 271,553.36
  5. Step 5: Solve for x
    x = 271,553.36/523.05
  6. Step 6: Final answer
    x = 519.17

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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.