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Finding the Fourth Proportional to 596.30, 822.89 and 330.74

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Solution

The fourth proportional to 596.30, 822.89 and 330.74 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.89 = 330.74 : x
  2. Step 2: Convert to fraction form
    596.30/822.89 = 330.74/x
  3. Step 3: Cross multiply
    596.30x = 822.89 × 330.74
  4. Step 4: Simplify right side
    596.30x = 272,159.96
  5. Step 5: Solve for x
    x = 272,159.96/596.30
  6. Step 6: Final answer
    x = 456.42

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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.