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Finding the Fourth Proportional to 493.70, 741.02 and 331.83

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Solution

The fourth proportional to 493.70, 741.02 and 331.83 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 741.02 = 331.83 : x
  2. Step 2: Convert to fraction form
    493.70/741.02 = 331.83/x
  3. Step 3: Cross multiply
    493.70x = 741.02 × 331.83
  4. Step 4: Simplify right side
    493.70x = 245,891.01
  5. Step 5: Solve for x
    x = 245,891.01/493.70
  6. Step 6: Final answer
    x = 498.06

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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.