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Finding the Fourth Proportional to 596.41, 892.72 and 431.33

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Solution

The fourth proportional to 596.41, 892.72 and 431.33 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.41 : 892.72 = 431.33 : x
  2. Step 2: Convert to fraction form
    596.41/892.72 = 431.33/x
  3. Step 3: Cross multiply
    596.41x = 892.72 × 431.33
  4. Step 4: Simplify right side
    596.41x = 385,052.99
  5. Step 5: Solve for x
    x = 385,052.99/596.41
  6. Step 6: Final answer
    x = 645.61

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Why These Related Problems?

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