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Finding the Fourth Proportional to 432.44, 596.78 and 235.96

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Solution

The fourth proportional to 432.44, 596.78 and 235.96 is: 325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 596.78 = 235.96 : x
  2. Step 2: Convert to fraction form
    432.44/596.78 = 235.96/x
  3. Step 3: Cross multiply
    432.44x = 596.78 × 235.96
  4. Step 4: Simplify right side
    432.44x = 140,813.54
  5. Step 5: Solve for x
    x = 140,813.54/432.44
  6. Step 6: Final answer
    x = 325.62

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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.