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Finding the Fourth Proportional to 432.54, 596.91 and 236.06

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Solution

The fourth proportional to 432.54, 596.91 and 236.06 is: 325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 596.91 = 236.06 : x
  2. Step 2: Convert to fraction form
    432.54/596.91 = 236.06/x
  3. Step 3: Cross multiply
    432.54x = 596.91 × 236.06
  4. Step 4: Simplify right side
    432.54x = 140,903.59
  5. Step 5: Solve for x
    x = 140,903.59/432.54
  6. Step 6: Final answer
    x = 325.76

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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.