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Finding the Fourth Proportional to 635.87, 954.11 and 311.06

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Solution

The fourth proportional to 635.87, 954.11 and 311.06 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.87 : 954.11 = 311.06 : x
  2. Step 2: Convert to fraction form
    635.87/954.11 = 311.06/x
  3. Step 3: Cross multiply
    635.87x = 954.11 × 311.06
  4. Step 4: Simplify right side
    635.87x = 296,788.62
  5. Step 5: Solve for x
    x = 296,788.62/635.87
  6. Step 6: Final answer
    x = 466.74

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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.