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Finding the Fourth Proportional to 457.86, 631.86 and 280.92

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Solution

The fourth proportional to 457.86, 631.86 and 280.92 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 631.86 = 280.92 : x
  2. Step 2: Convert to fraction form
    457.86/631.86 = 280.92/x
  3. Step 3: Cross multiply
    457.86x = 631.86 × 280.92
  4. Step 4: Simplify right side
    457.86x = 177,499.48
  5. Step 5: Solve for x
    x = 177,499.48/457.86
  6. Step 6: Final answer
    x = 387.67

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