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Finding the Fourth Proportional to 596.00, 822.37 and 375.24

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Solution

The fourth proportional to 596.00, 822.37 and 375.24 is: 517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.00 : 822.37 = 375.24 : x
  2. Step 2: Convert to fraction form
    596.00/822.37 = 375.24/x
  3. Step 3: Cross multiply
    596.00x = 822.37 × 375.24
  4. Step 4: Simplify right side
    596.00x = 308,584.24
  5. Step 5: Solve for x
    x = 308,584.24/596.00
  6. Step 6: Final answer
    x = 517.76

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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.