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Finding the Fourth Proportional to 546, 753.84 and 359.64

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Solution

The fourth proportional to 546, 753.84 and 359.64 is: 496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 753.84 = 359.64 : x
  2. Step 2: Convert to fraction form
    546/753.84 = 359.64/x
  3. Step 3: Cross multiply
    546x = 753.84 × 359.64
  4. Step 4: Simplify right side
    546x = 271,111.02
  5. Step 5: Solve for x
    x = 271,111.02/546
  6. Step 6: Final answer
    x = 496.54

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