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Finding the Fourth Proportional to 311.58, 429.71 and 256

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Solution

The fourth proportional to 311.58, 429.71 and 256 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 429.71 = 256 : x
  2. Step 2: Convert to fraction form
    311.58/429.71 = 256/x
  3. Step 3: Cross multiply
    311.58x = 429.71 × 256
  4. Step 4: Simplify right side
    311.58x = 110,005.76
  5. Step 5: Solve for x
    x = 110,005.76/311.58
  6. Step 6: Final answer
    x = 353.06

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