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Finding the Fourth Proportional to 596.54, 894.08 and 423.26

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Solution

The fourth proportional to 596.54, 894.08 and 423.26 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.54 : 894.08 = 423.26 : x
  2. Step 2: Convert to fraction form
    596.54/894.08 = 423.26/x
  3. Step 3: Cross multiply
    596.54x = 894.08 × 423.26
  4. Step 4: Simplify right side
    596.54x = 378,428.30
  5. Step 5: Solve for x
    x = 378,428.30/596.54
  6. Step 6: Final answer
    x = 634.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.