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Finding the Fourth Proportional to 339.87, 467.85 and 256.84

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Solution

The fourth proportional to 339.87, 467.85 and 256.84 is: 353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 467.85 = 256.84 : x
  2. Step 2: Convert to fraction form
    339.87/467.85 = 256.84/x
  3. Step 3: Cross multiply
    339.87x = 467.85 × 256.84
  4. Step 4: Simplify right side
    339.87x = 120,162.59
  5. Step 5: Solve for x
    x = 120,162.59/339.87
  6. Step 6: Final answer
    x = 353.55

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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.