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Finding the Fourth Proportional to 284.59, 427.64 and 174.90

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Solution

The fourth proportional to 284.59, 427.64 and 174.90 is: 262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 427.64 = 174.90 : x
  2. Step 2: Convert to fraction form
    284.59/427.64 = 174.90/x
  3. Step 3: Cross multiply
    284.59x = 427.64 × 174.90
  4. Step 4: Simplify right side
    284.59x = 74,794.24
  5. Step 5: Solve for x
    x = 74,794.24/284.59
  6. Step 6: Final answer
    x = 262.81

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