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Finding the Fourth Proportional to 304.14, 422.54 and 300.49

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Solution

The fourth proportional to 304.14, 422.54 and 300.49 is: 417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.14 : 422.54 = 300.49 : x
  2. Step 2: Convert to fraction form
    304.14/422.54 = 300.49/x
  3. Step 3: Cross multiply
    304.14x = 422.54 × 300.49
  4. Step 4: Simplify right side
    304.14x = 126,968.29
  5. Step 5: Solve for x
    x = 126,968.29/304.14
  6. Step 6: Final answer
    x = 417.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.