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Finding the Fourth Proportional to 596, 822.20 and 421.44

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Solution

The fourth proportional to 596, 822.20 and 421.44 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 822.20 = 421.44 : x
  2. Step 2: Convert to fraction form
    596/822.20 = 421.44/x
  3. Step 3: Cross multiply
    596x = 822.20 × 421.44
  4. Step 4: Simplify right side
    596x = 346,507.97
  5. Step 5: Solve for x
    x = 346,507.97/596
  6. Step 6: Final answer
    x = 581.39

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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.