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Finding the Fourth Proportional to 604.89, 829.31 and 593.96

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Solution

The fourth proportional to 604.89, 829.31 and 593.96 is: 814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 829.31 = 593.96 : x
  2. Step 2: Convert to fraction form
    604.89/829.31 = 593.96/x
  3. Step 3: Cross multiply
    604.89x = 829.31 × 593.96
  4. Step 4: Simplify right side
    604.89x = 492,569.85
  5. Step 5: Solve for x
    x = 492,569.85/604.89
  6. Step 6: Final answer
    x = 814.31

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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.