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Finding the Fourth Proportional to 596.86, 823.66 and 331.32

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Solution

The fourth proportional to 596.86, 823.66 and 331.32 is: 457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.86 : 823.66 = 331.32 : x
  2. Step 2: Convert to fraction form
    596.86/823.66 = 331.32/x
  3. Step 3: Cross multiply
    596.86x = 823.66 × 331.32
  4. Step 4: Simplify right side
    596.86x = 272,895.03
  5. Step 5: Solve for x
    x = 272,895.03/596.86
  6. Step 6: Final answer
    x = 457.22

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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.