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Finding the Fourth Proportional to 596.81, 823.63 and 334.83

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Solution

The fourth proportional to 596.81, 823.63 and 334.83 is: 462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 823.63 = 334.83 : x
  2. Step 2: Convert to fraction form
    596.81/823.63 = 334.83/x
  3. Step 3: Cross multiply
    596.81x = 823.63 × 334.83
  4. Step 4: Simplify right side
    596.81x = 275,776.03
  5. Step 5: Solve for x
    x = 275,776.03/596.81
  6. Step 6: Final answer
    x = 462.08

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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.