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Finding the Fourth Proportional to 596.94, 823.53 and 360.82

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Solution

The fourth proportional to 596.94, 823.53 and 360.82 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 823.53 = 360.82 : x
  2. Step 2: Convert to fraction form
    596.94/823.53 = 360.82/x
  3. Step 3: Cross multiply
    596.94x = 823.53 × 360.82
  4. Step 4: Simplify right side
    596.94x = 297,146.09
  5. Step 5: Solve for x
    x = 297,146.09/596.94
  6. Step 6: Final answer
    x = 497.78

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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.