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Finding the Fourth Proportional to 308.76, 462.84 and 200.64

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Solution

The fourth proportional to 308.76, 462.84 and 200.64 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 462.84 = 200.64 : x
  2. Step 2: Convert to fraction form
    308.76/462.84 = 200.64/x
  3. Step 3: Cross multiply
    308.76x = 462.84 × 200.64
  4. Step 4: Simplify right side
    308.76x = 92,864.22
  5. Step 5: Solve for x
    x = 92,864.22/308.76
  6. Step 6: Final answer
    x = 300.77

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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.