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Finding the Fourth Proportional to 596.95, 823.77 and 335.02

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Solution

The fourth proportional to 596.95, 823.77 and 335.02 is: 462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.95 : 823.77 = 335.02 : x
  2. Step 2: Convert to fraction form
    596.95/823.77 = 335.02/x
  3. Step 3: Cross multiply
    596.95x = 823.77 × 335.02
  4. Step 4: Simplify right side
    596.95x = 275,975.31
  5. Step 5: Solve for x
    x = 275,975.31/596.95
  6. Step 6: Final answer
    x = 462.31

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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.