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Finding the Fourth Proportional to 596.62, 823.33 and 375.86

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Solution

The fourth proportional to 596.62, 823.33 and 375.86 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 823.33 = 375.86 : x
  2. Step 2: Convert to fraction form
    596.62/823.33 = 375.86/x
  3. Step 3: Cross multiply
    596.62x = 823.33 × 375.86
  4. Step 4: Simplify right side
    596.62x = 309,454.93
  5. Step 5: Solve for x
    x = 309,454.93/596.62
  6. Step 6: Final answer
    x = 518.68

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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.