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Finding the Fourth Proportional to 596.85, 823.64 and 334.86

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Solution

The fourth proportional to 596.85, 823.64 and 334.86 is: 462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 823.64 = 334.86 : x
  2. Step 2: Convert to fraction form
    596.85/823.64 = 334.86/x
  3. Step 3: Cross multiply
    596.85x = 823.64 × 334.86
  4. Step 4: Simplify right side
    596.85x = 275,804.09
  5. Step 5: Solve for x
    x = 275,804.09/596.85
  6. Step 6: Final answer
    x = 462.10

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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.