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Finding the Fourth Proportional to 542.93, 814.58 and 282.92

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Solution

The fourth proportional to 542.93, 814.58 and 282.92 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 814.58 = 282.92 : x
  2. Step 2: Convert to fraction form
    542.93/814.58 = 282.92/x
  3. Step 3: Cross multiply
    542.93x = 814.58 × 282.92
  4. Step 4: Simplify right side
    542.93x = 230,455.49
  5. Step 5: Solve for x
    x = 230,455.49/542.93
  6. Step 6: Final answer
    x = 424.47

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