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Finding the Fourth Proportional to 596.76, 823.29 and 372.56

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Solution

The fourth proportional to 596.76, 823.29 and 372.56 is: 513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.29 = 372.56 : x
  2. Step 2: Convert to fraction form
    596.76/823.29 = 372.56/x
  3. Step 3: Cross multiply
    596.76x = 823.29 × 372.56
  4. Step 4: Simplify right side
    596.76x = 306,726.98
  5. Step 5: Solve for x
    x = 306,726.98/596.76
  6. Step 6: Final answer
    x = 513.99

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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.