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Finding the Fourth Proportional to 494.45, 741.62 and 311.30

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Solution

The fourth proportional to 494.45, 741.62 and 311.30 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.45 : 741.62 = 311.30 : x
  2. Step 2: Convert to fraction form
    494.45/741.62 = 311.30/x
  3. Step 3: Cross multiply
    494.45x = 741.62 × 311.30
  4. Step 4: Simplify right side
    494.45x = 230,861.04
  5. Step 5: Solve for x
    x = 230,861.04/494.45
  6. Step 6: Final answer
    x = 466.91

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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.