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Finding the Fourth Proportional to 596.61, 823.46 and 375.86

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Solution

The fourth proportional to 596.61, 823.46 and 375.86 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 823.46 = 375.86 : x
  2. Step 2: Convert to fraction form
    596.61/823.46 = 375.86/x
  3. Step 3: Cross multiply
    596.61x = 823.46 × 375.86
  4. Step 4: Simplify right side
    596.61x = 309,505.85
  5. Step 5: Solve for x
    x = 309,505.85/596.61
  6. Step 6: Final answer
    x = 518.77

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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.