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Finding the Fourth Proportional to 596.91, 823.82 and 334.95

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Solution

The fourth proportional to 596.91, 823.82 and 334.95 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.91 : 823.82 = 334.95 : x
  2. Step 2: Convert to fraction form
    596.91/823.82 = 334.95/x
  3. Step 3: Cross multiply
    596.91x = 823.82 × 334.95
  4. Step 4: Simplify right side
    596.91x = 275,938.51
  5. Step 5: Solve for x
    x = 275,938.51/596.91
  6. Step 6: Final answer
    x = 462.28

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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.