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Finding the Fourth Proportional to 537.76, 742.24 and 328

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Solution

The fourth proportional to 537.76, 742.24 and 328 is: 452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 742.24 = 328 : x
  2. Step 2: Convert to fraction form
    537.76/742.24 = 328/x
  3. Step 3: Cross multiply
    537.76x = 742.24 × 328
  4. Step 4: Simplify right side
    537.76x = 243,454.72
  5. Step 5: Solve for x
    x = 243,454.72/537.76
  6. Step 6: Final answer
    x = 452.72

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