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Finding the Fourth Proportional to 596.16, 822.36 and 363.12

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Solution

The fourth proportional to 596.16, 822.36 and 363.12 is: 500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 822.36 = 363.12 : x
  2. Step 2: Convert to fraction form
    596.16/822.36 = 363.12/x
  3. Step 3: Cross multiply
    596.16x = 822.36 × 363.12
  4. Step 4: Simplify right side
    596.16x = 298,615.36
  5. Step 5: Solve for x
    x = 298,615.36/596.16
  6. Step 6: Final answer
    x = 500.90

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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.