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Finding the Fourth Proportional to 432.51, 596.79 and 257.82

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Solution

The fourth proportional to 432.51, 596.79 and 257.82 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.51 : 596.79 = 257.82 : x
  2. Step 2: Convert to fraction form
    432.51/596.79 = 257.82/x
  3. Step 3: Cross multiply
    432.51x = 596.79 × 257.82
  4. Step 4: Simplify right side
    432.51x = 153,864.40
  5. Step 5: Solve for x
    x = 153,864.40/432.51
  6. Step 6: Final answer
    x = 355.75

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