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Finding the Fourth Proportional to 339.34, 467.86 and 280.56

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Solution

The fourth proportional to 339.34, 467.86 and 280.56 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.34 : 467.86 = 280.56 : x
  2. Step 2: Convert to fraction form
    339.34/467.86 = 280.56/x
  3. Step 3: Cross multiply
    339.34x = 467.86 × 280.56
  4. Step 4: Simplify right side
    339.34x = 131,262.80
  5. Step 5: Solve for x
    x = 131,262.80/339.34
  6. Step 6: Final answer
    x = 386.82

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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.