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Finding the Fourth Proportional to 339.32, 467.82 and 292.64

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Solution

The fourth proportional to 339.32, 467.82 and 292.64 is: 403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.32 : 467.82 = 292.64 : x
  2. Step 2: Convert to fraction form
    339.32/467.82 = 292.64/x
  3. Step 3: Cross multiply
    339.32x = 467.82 × 292.64
  4. Step 4: Simplify right side
    339.32x = 136,902.84
  5. Step 5: Solve for x
    x = 136,902.84/339.32
  6. Step 6: Final answer
    x = 403.46

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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.