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Finding the Fourth Proportional to 596.57, 892.72 and 353.26

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Solution

The fourth proportional to 596.57, 892.72 and 353.26 is: 528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 892.72 = 353.26 : x
  2. Step 2: Convert to fraction form
    596.57/892.72 = 353.26/x
  3. Step 3: Cross multiply
    596.57x = 892.72 × 353.26
  4. Step 4: Simplify right side
    596.57x = 315,363.82
  5. Step 5: Solve for x
    x = 315,363.82/596.57
  6. Step 6: Final answer
    x = 528.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.