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Finding the Fourth Proportional to 470.64, 705.80 and 182

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Solution

The fourth proportional to 470.64, 705.80 and 182 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 705.80 = 182 : x
  2. Step 2: Convert to fraction form
    470.64/705.80 = 182/x
  3. Step 3: Cross multiply
    470.64x = 705.80 × 182
  4. Step 4: Simplify right side
    470.64x = 128,455.60
  5. Step 5: Solve for x
    x = 128,455.60/470.64
  6. Step 6: Final answer
    x = 272.94

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