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Finding the Fourth Proportional to 596.28, 822.06 and 421.32

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Solution

The fourth proportional to 596.28, 822.06 and 421.32 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 822.06 = 421.32 : x
  2. Step 2: Convert to fraction form
    596.28/822.06 = 421.32/x
  3. Step 3: Cross multiply
    596.28x = 822.06 × 421.32
  4. Step 4: Simplify right side
    596.28x = 346,350.32
  5. Step 5: Solve for x
    x = 346,350.32/596.28
  6. Step 6: Final answer
    x = 580.85

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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.