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Finding the Fourth Proportional to 339.84, 512.64 and 339.12

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Solution

The fourth proportional to 339.84, 512.64 and 339.12 is: 511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 512.64 = 339.12 : x
  2. Step 2: Convert to fraction form
    339.84/512.64 = 339.12/x
  3. Step 3: Cross multiply
    339.84x = 512.64 × 339.12
  4. Step 4: Simplify right side
    339.84x = 173,846.48
  5. Step 5: Solve for x
    x = 173,846.48/339.84
  6. Step 6: Final answer
    x = 511.55

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Why These Related Problems?

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