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Finding the Fourth Proportional to 596.32, 822.88 and 334.31

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Solution

The fourth proportional to 596.32, 822.88 and 334.31 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 822.88 = 334.31 : x
  2. Step 2: Convert to fraction form
    596.32/822.88 = 334.31/x
  3. Step 3: Cross multiply
    596.32x = 822.88 × 334.31
  4. Step 4: Simplify right side
    596.32x = 275,098.23
  5. Step 5: Solve for x
    x = 275,098.23/596.32
  6. Step 6: Final answer
    x = 461.33

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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.