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Finding the Fourth Proportional to 596.48, 892.53 and 423.32

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Solution

The fourth proportional to 596.48, 892.53 and 423.32 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 892.53 = 423.32 : x
  2. Step 2: Convert to fraction form
    596.48/892.53 = 423.32/x
  3. Step 3: Cross multiply
    596.48x = 892.53 × 423.32
  4. Step 4: Simplify right side
    596.48x = 377,821.34
  5. Step 5: Solve for x
    x = 377,821.34/596.48
  6. Step 6: Final answer
    x = 633.42

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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.