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Finding the Fourth Proportional to 578.12, 866.70 and 253.64

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Solution

The fourth proportional to 578.12, 866.70 and 253.64 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 866.70 = 253.64 : x
  2. Step 2: Convert to fraction form
    578.12/866.70 = 253.64/x
  3. Step 3: Cross multiply
    578.12x = 866.70 × 253.64
  4. Step 4: Simplify right side
    578.12x = 219,829.79
  5. Step 5: Solve for x
    x = 219,829.79/578.12
  6. Step 6: Final answer
    x = 380.25

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