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Finding the Fourth Proportional to 339.30, 467.37 and 261.54

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Solution

The fourth proportional to 339.30, 467.37 and 261.54 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.30 : 467.37 = 261.54 : x
  2. Step 2: Convert to fraction form
    339.30/467.37 = 261.54/x
  3. Step 3: Cross multiply
    339.30x = 467.37 × 261.54
  4. Step 4: Simplify right side
    339.30x = 122,235.95
  5. Step 5: Solve for x
    x = 122,235.95/339.30
  6. Step 6: Final answer
    x = 360.26

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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.