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Finding the Fourth Proportional to 403.38, 556.71 and 256

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Solution

The fourth proportional to 403.38, 556.71 and 256 is: 353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.38 : 556.71 = 256 : x
  2. Step 2: Convert to fraction form
    403.38/556.71 = 256/x
  3. Step 3: Cross multiply
    403.38x = 556.71 × 256
  4. Step 4: Simplify right side
    403.38x = 142,517.76
  5. Step 5: Solve for x
    x = 142,517.76/403.38
  6. Step 6: Final answer
    x = 353.31

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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.