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Finding the Fourth Proportional to 596.39, 893.76 and 531.32

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Solution

The fourth proportional to 596.39, 893.76 and 531.32 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 893.76 = 531.32 : x
  2. Step 2: Convert to fraction form
    596.39/893.76 = 531.32/x
  3. Step 3: Cross multiply
    596.39x = 893.76 × 531.32
  4. Step 4: Simplify right side
    596.39x = 474,872.56
  5. Step 5: Solve for x
    x = 474,872.56/596.39
  6. Step 6: Final answer
    x = 796.25

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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.