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Finding the Fourth Proportional to 300.78, 415.26 and 229.50

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Solution

The fourth proportional to 300.78, 415.26 and 229.50 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 415.26 = 229.50 : x
  2. Step 2: Convert to fraction form
    300.78/415.26 = 229.50/x
  3. Step 3: Cross multiply
    300.78x = 415.26 × 229.50
  4. Step 4: Simplify right side
    300.78x = 95,302.17
  5. Step 5: Solve for x
    x = 95,302.17/300.78
  6. Step 6: Final answer
    x = 316.85

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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.