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Finding the Fourth Proportional to 539.31, 744.25 and 342.82

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Solution

The fourth proportional to 539.31, 744.25 and 342.82 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.31 : 744.25 = 342.82 : x
  2. Step 2: Convert to fraction form
    539.31/744.25 = 342.82/x
  3. Step 3: Cross multiply
    539.31x = 744.25 × 342.82
  4. Step 4: Simplify right side
    539.31x = 255,143.79
  5. Step 5: Solve for x
    x = 255,143.79/539.31
  6. Step 6: Final answer
    x = 473.09

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