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Finding the Fourth Proportional to 542.88, 749 and 309.92

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Solution

The fourth proportional to 542.88, 749 and 309.92 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 749 = 309.92 : x
  2. Step 2: Convert to fraction form
    542.88/749 = 309.92/x
  3. Step 3: Cross multiply
    542.88x = 749 × 309.92
  4. Step 4: Simplify right side
    542.88x = 232,130.08
  5. Step 5: Solve for x
    x = 232,130.08/542.88
  6. Step 6: Final answer
    x = 427.59

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