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Finding the Fourth Proportional to 493.74, 741.66 and 311.27

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Solution

The fourth proportional to 493.74, 741.66 and 311.27 is: 467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 741.66 = 311.27 : x
  2. Step 2: Convert to fraction form
    493.74/741.66 = 311.27/x
  3. Step 3: Cross multiply
    493.74x = 741.66 × 311.27
  4. Step 4: Simplify right side
    493.74x = 230,852.80
  5. Step 5: Solve for x
    x = 230,852.80/493.74
  6. Step 6: Final answer
    x = 467.56

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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.