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Finding the Fourth Proportional to 539.24, 743.72 and 342.54

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Solution

The fourth proportional to 539.24, 743.72 and 342.54 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 743.72 = 342.54 : x
  2. Step 2: Convert to fraction form
    539.24/743.72 = 342.54/x
  3. Step 3: Cross multiply
    539.24x = 743.72 × 342.54
  4. Step 4: Simplify right side
    539.24x = 254,752.14
  5. Step 5: Solve for x
    x = 254,752.14/539.24
  6. Step 6: Final answer
    x = 472.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.