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Finding the Fourth Proportional to 421.74, 632.21 and 256.80

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Solution

The fourth proportional to 421.74, 632.21 and 256.80 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 632.21 = 256.80 : x
  2. Step 2: Convert to fraction form
    421.74/632.21 = 256.80/x
  3. Step 3: Cross multiply
    421.74x = 632.21 × 256.80
  4. Step 4: Simplify right side
    421.74x = 162,350.24
  5. Step 5: Solve for x
    x = 162,350.24/421.74
  6. Step 6: Final answer
    x = 384.95

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