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Finding the Fourth Proportional to 596.96, 823.68 and 431.54

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Solution

The fourth proportional to 596.96, 823.68 and 431.54 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 823.68 = 431.54 : x
  2. Step 2: Convert to fraction form
    596.96/823.68 = 431.54/x
  3. Step 3: Cross multiply
    596.96x = 823.68 × 431.54
  4. Step 4: Simplify right side
    596.96x = 355,450.87
  5. Step 5: Solve for x
    x = 355,450.87/596.96
  6. Step 6: Final answer
    x = 595.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.