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Finding the Fourth Proportional to 639.94, 959.18 and 311.20

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Solution

The fourth proportional to 639.94, 959.18 and 311.20 is: 466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.94 : 959.18 = 311.20 : x
  2. Step 2: Convert to fraction form
    639.94/959.18 = 311.20/x
  3. Step 3: Cross multiply
    639.94x = 959.18 × 311.20
  4. Step 4: Simplify right side
    639.94x = 298,491.24
  5. Step 5: Solve for x
    x = 298,491.24/639.94
  6. Step 6: Final answer
    x = 466.44

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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.