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Finding the Fourth Proportional to 596.06, 822.46 and 359.95

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Solution

The fourth proportional to 596.06, 822.46 and 359.95 is: 496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 822.46 = 359.95 : x
  2. Step 2: Convert to fraction form
    596.06/822.46 = 359.95/x
  3. Step 3: Cross multiply
    596.06x = 822.46 × 359.95
  4. Step 4: Simplify right side
    596.06x = 296,038.56
  5. Step 5: Solve for x
    x = 296,038.56/596.06
  6. Step 6: Final answer
    x = 496.66

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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.