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Finding the Fourth Proportional to 304.77, 457 and 142.57

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Solution

The fourth proportional to 304.77, 457 and 142.57 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.77 : 457 = 142.57 : x
  2. Step 2: Convert to fraction form
    304.77/457 = 142.57/x
  3. Step 3: Cross multiply
    304.77x = 457 × 142.57
  4. Step 4: Simplify right side
    304.77x = 65,154.49
  5. Step 5: Solve for x
    x = 65,154.49/304.77
  6. Step 6: Final answer
    x = 213.78

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