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Finding the Fourth Proportional to 339.36, 511.08 and 308.64

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Solution

The fourth proportional to 339.36, 511.08 and 308.64 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 511.08 = 308.64 : x
  2. Step 2: Convert to fraction form
    339.36/511.08 = 308.64/x
  3. Step 3: Cross multiply
    339.36x = 511.08 × 308.64
  4. Step 4: Simplify right side
    339.36x = 157,739.73
  5. Step 5: Solve for x
    x = 157,739.73/339.36
  6. Step 6: Final answer
    x = 464.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.