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Finding the Fourth Proportional to 438.06, 656.88 and 206.76

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Solution

The fourth proportional to 438.06, 656.88 and 206.76 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 656.88 = 206.76 : x
  2. Step 2: Convert to fraction form
    438.06/656.88 = 206.76/x
  3. Step 3: Cross multiply
    438.06x = 656.88 × 206.76
  4. Step 4: Simplify right side
    438.06x = 135,816.51
  5. Step 5: Solve for x
    x = 135,816.51/438.06
  6. Step 6: Final answer
    x = 310.04

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