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Finding the Fourth Proportional to 339.29, 467.95 and 214.83

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Solution

The fourth proportional to 339.29, 467.95 and 214.83 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.29 : 467.95 = 214.83 : x
  2. Step 2: Convert to fraction form
    339.29/467.95 = 214.83/x
  3. Step 3: Cross multiply
    339.29x = 467.95 × 214.83
  4. Step 4: Simplify right side
    339.29x = 100,528.85
  5. Step 5: Solve for x
    x = 100,528.85/339.29
  6. Step 6: Final answer
    x = 296.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.