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Finding the Fourth Proportional to 546.66, 818.91 and 257.76

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Solution

The fourth proportional to 546.66, 818.91 and 257.76 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 818.91 = 257.76 : x
  2. Step 2: Convert to fraction form
    546.66/818.91 = 257.76/x
  3. Step 3: Cross multiply
    546.66x = 818.91 × 257.76
  4. Step 4: Simplify right side
    546.66x = 211,082.24
  5. Step 5: Solve for x
    x = 211,082.24/546.66
  6. Step 6: Final answer
    x = 386.13

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