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Finding the Fourth Proportional to 635.98, 953.96 and 311.26

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Solution

The fourth proportional to 635.98, 953.96 and 311.26 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.98 : 953.96 = 311.26 : x
  2. Step 2: Convert to fraction form
    635.98/953.96 = 311.26/x
  3. Step 3: Cross multiply
    635.98x = 953.96 × 311.26
  4. Step 4: Simplify right side
    635.98x = 296,929.59
  5. Step 5: Solve for x
    x = 296,929.59/635.98
  6. Step 6: Final answer
    x = 466.89

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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.