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Finding the Fourth Proportional to 596.21, 822.77 and 330.65

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Solution

The fourth proportional to 596.21, 822.77 and 330.65 is: 456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 822.77 = 330.65 : x
  2. Step 2: Convert to fraction form
    596.21/822.77 = 330.65/x
  3. Step 3: Cross multiply
    596.21x = 822.77 × 330.65
  4. Step 4: Simplify right side
    596.21x = 272,050.08
  5. Step 5: Solve for x
    x = 272,050.08/596.21
  6. Step 6: Final answer
    x = 456.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.