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Finding the Fourth Proportional to 300.27, 414.50 and 258.10

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Solution

The fourth proportional to 300.27, 414.50 and 258.10 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 414.50 = 258.10 : x
  2. Step 2: Convert to fraction form
    300.27/414.50 = 258.10/x
  3. Step 3: Cross multiply
    300.27x = 414.50 × 258.10
  4. Step 4: Simplify right side
    300.27x = 106,979.73
  5. Step 5: Solve for x
    x = 106,979.73/300.27
  6. Step 6: Final answer
    x = 356.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.