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Finding the Fourth Proportional to 339.72, 511.43 and 232.19

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Solution

The fourth proportional to 339.72, 511.43 and 232.19 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 511.43 = 232.19 : x
  2. Step 2: Convert to fraction form
    339.72/511.43 = 232.19/x
  3. Step 3: Cross multiply
    339.72x = 511.43 × 232.19
  4. Step 4: Simplify right side
    339.72x = 118,748.93
  5. Step 5: Solve for x
    x = 118,748.93/339.72
  6. Step 6: Final answer
    x = 349.55

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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.