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Finding the Fourth Proportional to 712.32, 1,067.84 and 256

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Solution

The fourth proportional to 712.32, 1,067.84 and 256 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 1,067.84 = 256 : x
  2. Step 2: Convert to fraction form
    712.32/1,067.84 = 256/x
  3. Step 3: Cross multiply
    712.32x = 1,067.84 × 256
  4. Step 4: Simplify right side
    712.32x = 273,367.04
  5. Step 5: Solve for x
    x = 273,367.04/712.32
  6. Step 6: Final answer
    x = 383.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.