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Finding the Fourth Proportional to 420.62, 629.71 and 257.81

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Solution

The fourth proportional to 420.62, 629.71 and 257.81 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.62 : 629.71 = 257.81 : x
  2. Step 2: Convert to fraction form
    420.62/629.71 = 257.81/x
  3. Step 3: Cross multiply
    420.62x = 629.71 × 257.81
  4. Step 4: Simplify right side
    420.62x = 162,341.74
  5. Step 5: Solve for x
    x = 162,341.74/420.62
  6. Step 6: Final answer
    x = 385.96

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