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Finding the Fourth Proportional to 596.05, 822.56 and 359.99

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Solution

The fourth proportional to 596.05, 822.56 and 359.99 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 822.56 = 359.99 : x
  2. Step 2: Convert to fraction form
    596.05/822.56 = 359.99/x
  3. Step 3: Cross multiply
    596.05x = 822.56 × 359.99
  4. Step 4: Simplify right side
    596.05x = 296,113.63
  5. Step 5: Solve for x
    x = 296,113.63/596.05
  6. Step 6: Final answer
    x = 496.80

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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.