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Finding the Fourth Proportional to 596.01, 822.27 and 359.82

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Solution

The fourth proportional to 596.01, 822.27 and 359.82 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.01 : 822.27 = 359.82 : x
  2. Step 2: Convert to fraction form
    596.01/822.27 = 359.82/x
  3. Step 3: Cross multiply
    596.01x = 822.27 × 359.82
  4. Step 4: Simplify right side
    596.01x = 295,869.19
  5. Step 5: Solve for x
    x = 295,869.19/596.01
  6. Step 6: Final answer
    x = 496.42

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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.