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Finding the Fourth Proportional to 596.34, 822.96 and 330.79

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Solution

The fourth proportional to 596.34, 822.96 and 330.79 is: 456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 822.96 = 330.79 : x
  2. Step 2: Convert to fraction form
    596.34/822.96 = 330.79/x
  3. Step 3: Cross multiply
    596.34x = 822.96 × 330.79
  4. Step 4: Simplify right side
    596.34x = 272,226.94
  5. Step 5: Solve for x
    x = 272,226.94/596.34
  6. Step 6: Final answer
    x = 456.50

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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.