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Finding the Fourth Proportional to 596.82, 824.28 and 375.96

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Solution

The fourth proportional to 596.82, 824.28 and 375.96 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 824.28 = 375.96 : x
  2. Step 2: Convert to fraction form
    596.82/824.28 = 375.96/x
  3. Step 3: Cross multiply
    596.82x = 824.28 × 375.96
  4. Step 4: Simplify right side
    596.82x = 309,896.31
  5. Step 5: Solve for x
    x = 309,896.31/596.82
  6. Step 6: Final answer
    x = 519.25

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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.