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Finding the Fourth Proportional to 596.41, 822.24 and 419.14

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Solution

The fourth proportional to 596.41, 822.24 and 419.14 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.41 : 822.24 = 419.14 : x
  2. Step 2: Convert to fraction form
    596.41/822.24 = 419.14/x
  3. Step 3: Cross multiply
    596.41x = 822.24 × 419.14
  4. Step 4: Simplify right side
    596.41x = 344,629.56
  5. Step 5: Solve for x
    x = 344,629.56/596.41
  6. Step 6: Final answer
    x = 577.84

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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.