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Finding the Fourth Proportional to 432.54, 596.91 and 236.07

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Solution

The fourth proportional to 432.54, 596.91 and 236.07 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 596.91 = 236.07 : x
  2. Step 2: Convert to fraction form
    432.54/596.91 = 236.07/x
  3. Step 3: Cross multiply
    432.54x = 596.91 × 236.07
  4. Step 4: Simplify right side
    432.54x = 140,912.54
  5. Step 5: Solve for x
    x = 140,912.54/432.54
  6. Step 6: Final answer
    x = 325.78

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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.