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Finding the Fourth Proportional to 596.62, 823.21 and 431.08

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Solution

The fourth proportional to 596.62, 823.21 and 431.08 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 823.21 = 431.08 : x
  2. Step 2: Convert to fraction form
    596.62/823.21 = 431.08/x
  3. Step 3: Cross multiply
    596.62x = 823.21 × 431.08
  4. Step 4: Simplify right side
    596.62x = 354,869.37
  5. Step 5: Solve for x
    x = 354,869.37/596.62
  6. Step 6: Final answer
    x = 594.80

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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.