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Finding the Fourth Proportional to 596.33, 822.31 and 410.09

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Solution

The fourth proportional to 596.33, 822.31 and 410.09 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.33 : 822.31 = 410.09 : x
  2. Step 2: Convert to fraction form
    596.33/822.31 = 410.09/x
  3. Step 3: Cross multiply
    596.33x = 822.31 × 410.09
  4. Step 4: Simplify right side
    596.33x = 337,222.14
  5. Step 5: Solve for x
    x = 337,222.14/596.33
  6. Step 6: Final answer
    x = 565.49

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Why These Related Problems?

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