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Finding the Fourth Proportional to 314.27, 470.76 and 260.20

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Solution

The fourth proportional to 314.27, 470.76 and 260.20 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.27 : 470.76 = 260.20 : x
  2. Step 2: Convert to fraction form
    314.27/470.76 = 260.20/x
  3. Step 3: Cross multiply
    314.27x = 470.76 × 260.20
  4. Step 4: Simplify right side
    314.27x = 122,491.75
  5. Step 5: Solve for x
    x = 122,491.75/314.27
  6. Step 6: Final answer
    x = 389.77

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