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Finding the Fourth Proportional to 293.80, 440.70 and 257.80

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Solution

The fourth proportional to 293.80, 440.70 and 257.80 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 440.70 = 257.80 : x
  2. Step 2: Convert to fraction form
    293.80/440.70 = 257.80/x
  3. Step 3: Cross multiply
    293.80x = 440.70 × 257.80
  4. Step 4: Simplify right side
    293.80x = 113,612.46
  5. Step 5: Solve for x
    x = 113,612.46/293.80
  6. Step 6: Final answer
    x = 386.70

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