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Finding the Fourth Proportional to 524.88, 787.28 and 264.96

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Solution

The fourth proportional to 524.88, 787.28 and 264.96 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 787.28 = 264.96 : x
  2. Step 2: Convert to fraction form
    524.88/787.28 = 264.96/x
  3. Step 3: Cross multiply
    524.88x = 787.28 × 264.96
  4. Step 4: Simplify right side
    524.88x = 208,597.71
  5. Step 5: Solve for x
    x = 208,597.71/524.88
  6. Step 6: Final answer
    x = 397.42

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