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Finding the Fourth Proportional to 300.92, 415.44 and 258.77

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Solution

The fourth proportional to 300.92, 415.44 and 258.77 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 415.44 = 258.77 : x
  2. Step 2: Convert to fraction form
    300.92/415.44 = 258.77/x
  3. Step 3: Cross multiply
    300.92x = 415.44 × 258.77
  4. Step 4: Simplify right side
    300.92x = 107,504.45
  5. Step 5: Solve for x
    x = 107,504.45/300.92
  6. Step 6: Final answer
    x = 357.26

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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.