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Finding the Fourth Proportional to 420.76, 631.74 and 257.95

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Solution

The fourth proportional to 420.76, 631.74 and 257.95 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.76 : 631.74 = 257.95 : x
  2. Step 2: Convert to fraction form
    420.76/631.74 = 257.95/x
  3. Step 3: Cross multiply
    420.76x = 631.74 × 257.95
  4. Step 4: Simplify right side
    420.76x = 162,957.33
  5. Step 5: Solve for x
    x = 162,957.33/420.76
  6. Step 6: Final answer
    x = 387.29

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