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Finding the Fourth Proportional to 430.80, 644.60 and 257.56

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Solution

The fourth proportional to 430.80, 644.60 and 257.56 is: 385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 644.60 = 257.56 : x
  2. Step 2: Convert to fraction form
    430.80/644.60 = 257.56/x
  3. Step 3: Cross multiply
    430.80x = 644.60 × 257.56
  4. Step 4: Simplify right side
    430.80x = 166,023.18
  5. Step 5: Solve for x
    x = 166,023.18/430.80
  6. Step 6: Final answer
    x = 385.38

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