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Finding the Fourth Proportional to 596.83, 823.91 and 376.12

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Solution

The fourth proportional to 596.83, 823.91 and 376.12 is: 519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.83 : 823.91 = 376.12 : x
  2. Step 2: Convert to fraction form
    596.83/823.91 = 376.12/x
  3. Step 3: Cross multiply
    596.83x = 823.91 × 376.12
  4. Step 4: Simplify right side
    596.83x = 309,885.85
  5. Step 5: Solve for x
    x = 309,885.85/596.83
  6. Step 6: Final answer
    x = 519.22

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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.