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Finding the Fourth Proportional to 491.82, 737.68 and 308.67

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Solution

The fourth proportional to 491.82, 737.68 and 308.67 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.82 : 737.68 = 308.67 : x
  2. Step 2: Convert to fraction form
    491.82/737.68 = 308.67/x
  3. Step 3: Cross multiply
    491.82x = 737.68 × 308.67
  4. Step 4: Simplify right side
    491.82x = 227,698.91
  5. Step 5: Solve for x
    x = 227,698.91/491.82
  6. Step 6: Final answer
    x = 462.97

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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.