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Finding the Fourth Proportional to 311.10, 429.63 and 256.38

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Solution

The fourth proportional to 311.10, 429.63 and 256.38 is: 354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 429.63 = 256.38 : x
  2. Step 2: Convert to fraction form
    311.10/429.63 = 256.38/x
  3. Step 3: Cross multiply
    311.10x = 429.63 × 256.38
  4. Step 4: Simplify right side
    311.10x = 110,148.54
  5. Step 5: Solve for x
    x = 110,148.54/311.10
  6. Step 6: Final answer
    x = 354.06

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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.