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Finding the Fourth Proportional to 596.30, 822.23 and 386.21

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Solution

The fourth proportional to 596.30, 822.23 and 386.21 is: 532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.23 = 386.21 : x
  2. Step 2: Convert to fraction form
    596.30/822.23 = 386.21/x
  3. Step 3: Cross multiply
    596.30x = 822.23 × 386.21
  4. Step 4: Simplify right side
    596.30x = 317,553.57
  5. Step 5: Solve for x
    x = 317,553.57/596.30
  6. Step 6: Final answer
    x = 532.54

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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.