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Finding the Fourth Proportional to 596.14, 822.67 and 330.57

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Solution

The fourth proportional to 596.14, 822.67 and 330.57 is: 456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 822.67 = 330.57 : x
  2. Step 2: Convert to fraction form
    596.14/822.67 = 330.57/x
  3. Step 3: Cross multiply
    596.14x = 822.67 × 330.57
  4. Step 4: Simplify right side
    596.14x = 271,949.20
  5. Step 5: Solve for x
    x = 271,949.20/596.14
  6. Step 6: Final answer
    x = 456.19

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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.