Home / 596.25-822.77-334.23

Finding the Fourth Proportional to 596.25, 822.77 and 334.23

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Solution

The fourth proportional to 596.25, 822.77 and 334.23 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 822.77 = 334.23 : x
  2. Step 2: Convert to fraction form
    596.25/822.77 = 334.23/x
  3. Step 3: Cross multiply
    596.25x = 822.77 × 334.23
  4. Step 4: Simplify right side
    596.25x = 274,990.30
  5. Step 5: Solve for x
    x = 274,990.30/596.25
  6. Step 6: Final answer
    x = 461.20

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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.