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Finding the Fourth Proportional to 596.95, 823.83 and 334.99

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Solution

The fourth proportional to 596.95, 823.83 and 334.99 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.95 : 823.83 = 334.99 : x
  2. Step 2: Convert to fraction form
    596.95/823.83 = 334.99/x
  3. Step 3: Cross multiply
    596.95x = 823.83 × 334.99
  4. Step 4: Simplify right side
    596.95x = 275,970.89
  5. Step 5: Solve for x
    x = 275,970.89/596.95
  6. Step 6: Final answer
    x = 462.30

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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.