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Finding the Fourth Proportional to 539.14, 743.61 and 339.77

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Solution

The fourth proportional to 539.14, 743.61 and 339.77 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 743.61 = 339.77 : x
  2. Step 2: Convert to fraction form
    539.14/743.61 = 339.77/x
  3. Step 3: Cross multiply
    539.14x = 743.61 × 339.77
  4. Step 4: Simplify right side
    539.14x = 252,656.37
  5. Step 5: Solve for x
    x = 252,656.37/539.14
  6. Step 6: Final answer
    x = 468.63

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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.