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Finding the Fourth Proportional to 287.76, 430.96 and 206.56

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Solution

The fourth proportional to 287.76, 430.96 and 206.56 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 430.96 = 206.56 : x
  2. Step 2: Convert to fraction form
    287.76/430.96 = 206.56/x
  3. Step 3: Cross multiply
    287.76x = 430.96 × 206.56
  4. Step 4: Simplify right side
    287.76x = 89,019.10
  5. Step 5: Solve for x
    x = 89,019.10/287.76
  6. Step 6: Final answer
    x = 309.35

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