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Finding the Fourth Proportional to 596.00, 822.49 and 359.95

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Solution

The fourth proportional to 596.00, 822.49 and 359.95 is: 496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.00 : 822.49 = 359.95 : x
  2. Step 2: Convert to fraction form
    596.00/822.49 = 359.95/x
  3. Step 3: Cross multiply
    596.00x = 822.49 × 359.95
  4. Step 4: Simplify right side
    596.00x = 296,052.32
  5. Step 5: Solve for x
    x = 296,052.32/596.00
  6. Step 6: Final answer
    x = 496.73

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