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Finding the Fourth Proportional to 553.16, 829.74 and 264.80

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Solution

The fourth proportional to 553.16, 829.74 and 264.80 is: 397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 829.74 = 264.80 : x
  2. Step 2: Convert to fraction form
    553.16/829.74 = 264.80/x
  3. Step 3: Cross multiply
    553.16x = 829.74 × 264.80
  4. Step 4: Simplify right side
    553.16x = 219,715.15
  5. Step 5: Solve for x
    x = 219,715.15/553.16
  6. Step 6: Final answer
    x = 397.20

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