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Finding the Fourth Proportional to 308.77, 463.91 and 296.62

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Solution

The fourth proportional to 308.77, 463.91 and 296.62 is: 445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.77 : 463.91 = 296.62 : x
  2. Step 2: Convert to fraction form
    308.77/463.91 = 296.62/x
  3. Step 3: Cross multiply
    308.77x = 463.91 × 296.62
  4. Step 4: Simplify right side
    308.77x = 137,604.98
  5. Step 5: Solve for x
    x = 137,604.98/308.77
  6. Step 6: Final answer
    x = 445.66

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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.