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Finding the Fourth Proportional to 596.62, 822.49 and 436.96

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Solution

The fourth proportional to 596.62, 822.49 and 436.96 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 822.49 = 436.96 : x
  2. Step 2: Convert to fraction form
    596.62/822.49 = 436.96/x
  3. Step 3: Cross multiply
    596.62x = 822.49 × 436.96
  4. Step 4: Simplify right side
    596.62x = 359,395.23
  5. Step 5: Solve for x
    x = 359,395.23/596.62
  6. Step 6: Final answer
    x = 602.39

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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.