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Finding the Fourth Proportional to 339.54, 511.19 and 292.56

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Solution

The fourth proportional to 339.54, 511.19 and 292.56 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.54 : 511.19 = 292.56 : x
  2. Step 2: Convert to fraction form
    339.54/511.19 = 292.56/x
  3. Step 3: Cross multiply
    339.54x = 511.19 × 292.56
  4. Step 4: Simplify right side
    339.54x = 149,552.28
  5. Step 5: Solve for x
    x = 149,552.28/339.54
  6. Step 6: Final answer
    x = 440.46

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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.