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Finding the Fourth Proportional to 604.88, 829.29 and 593.94

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Solution

The fourth proportional to 604.88, 829.29 and 593.94 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.88 : 829.29 = 593.94 : x
  2. Step 2: Convert to fraction form
    604.88/829.29 = 593.94/x
  3. Step 3: Cross multiply
    604.88x = 829.29 × 593.94
  4. Step 4: Simplify right side
    604.88x = 492,553.06
  5. Step 5: Solve for x
    x = 492,553.06/604.88
  6. Step 6: Final answer
    x = 814.30

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Why These Related Problems?

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