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Finding the Fourth Proportional to 596, 822.24 and 363.04

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Solution

The fourth proportional to 596, 822.24 and 363.04 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 822.24 = 363.04 : x
  2. Step 2: Convert to fraction form
    596/822.24 = 363.04/x
  3. Step 3: Cross multiply
    596x = 822.24 × 363.04
  4. Step 4: Simplify right side
    596x = 298,506.01
  5. Step 5: Solve for x
    x = 298,506.01/596
  6. Step 6: Final answer
    x = 500.85

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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.