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Finding the Fourth Proportional to 308.84, 424.46 and 300.20

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Solution

The fourth proportional to 308.84, 424.46 and 300.20 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 424.46 = 300.20 : x
  2. Step 2: Convert to fraction form
    308.84/424.46 = 300.20/x
  3. Step 3: Cross multiply
    308.84x = 424.46 × 300.20
  4. Step 4: Simplify right side
    308.84x = 127,422.89
  5. Step 5: Solve for x
    x = 127,422.89/308.84
  6. Step 6: Final answer
    x = 412.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.