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Finding the Fourth Proportional to 596.50, 823.18 and 334.50

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Solution

The fourth proportional to 596.50, 823.18 and 334.50 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 823.18 = 334.50 : x
  2. Step 2: Convert to fraction form
    596.50/823.18 = 334.50/x
  3. Step 3: Cross multiply
    596.50x = 823.18 × 334.50
  4. Step 4: Simplify right side
    596.50x = 275,353.71
  5. Step 5: Solve for x
    x = 275,353.71/596.50
  6. Step 6: Final answer
    x = 461.62

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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.