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Finding the Fourth Proportional to 546.16, 818.92 and 257.60

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Solution

The fourth proportional to 546.16, 818.92 and 257.60 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 818.92 = 257.60 : x
  2. Step 2: Convert to fraction form
    546.16/818.92 = 257.60/x
  3. Step 3: Cross multiply
    546.16x = 818.92 × 257.60
  4. Step 4: Simplify right side
    546.16x = 210,953.79
  5. Step 5: Solve for x
    x = 210,953.79/546.16
  6. Step 6: Final answer
    x = 386.25

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