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Finding the Fourth Proportional to 493.91, 741.94 and 301.67

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Solution

The fourth proportional to 493.91, 741.94 and 301.67 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.91 : 741.94 = 301.67 : x
  2. Step 2: Convert to fraction form
    493.91/741.94 = 301.67/x
  3. Step 3: Cross multiply
    493.91x = 741.94 × 301.67
  4. Step 4: Simplify right side
    493.91x = 223,821.04
  5. Step 5: Solve for x
    x = 223,821.04/493.91
  6. Step 6: Final answer
    x = 453.16

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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.