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Finding the Fourth Proportional to 432.80, 596.96 and 258

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Solution

The fourth proportional to 432.80, 596.96 and 258 is: 355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 596.96 = 258 : x
  2. Step 2: Convert to fraction form
    432.80/596.96 = 258/x
  3. Step 3: Cross multiply
    432.80x = 596.96 × 258
  4. Step 4: Simplify right side
    432.80x = 154,015.68
  5. Step 5: Solve for x
    x = 154,015.68/432.80
  6. Step 6: Final answer
    x = 355.86

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