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Finding the Fourth Proportional to 596.70, 823.48 and 334.80

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Solution

The fourth proportional to 596.70, 823.48 and 334.80 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 823.48 = 334.80 : x
  2. Step 2: Convert to fraction form
    596.70/823.48 = 334.80/x
  3. Step 3: Cross multiply
    596.70x = 823.48 × 334.80
  4. Step 4: Simplify right side
    596.70x = 275,701.10
  5. Step 5: Solve for x
    x = 275,701.10/596.70
  6. Step 6: Final answer
    x = 462.04

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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.