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Finding the Fourth Proportional to 635.77, 953.56 and 311.05

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Solution

The fourth proportional to 635.77, 953.56 and 311.05 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.77 : 953.56 = 311.05 : x
  2. Step 2: Convert to fraction form
    635.77/953.56 = 311.05/x
  3. Step 3: Cross multiply
    635.77x = 953.56 × 311.05
  4. Step 4: Simplify right side
    635.77x = 296,604.84
  5. Step 5: Solve for x
    x = 296,604.84/635.77
  6. Step 6: Final answer
    x = 466.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.