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Finding the Fourth Proportional to 596.21, 822.75 and 330.66

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Solution

The fourth proportional to 596.21, 822.75 and 330.66 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 822.75 = 330.66 : x
  2. Step 2: Convert to fraction form
    596.21/822.75 = 330.66/x
  3. Step 3: Cross multiply
    596.21x = 822.75 × 330.66
  4. Step 4: Simplify right side
    596.21x = 272,047.89
  5. Step 5: Solve for x
    x = 272,047.89/596.21
  6. Step 6: Final answer
    x = 456.29

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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.