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Finding the Fourth Proportional to 277.60, 415.92 and 229.78

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Solution

The fourth proportional to 277.60, 415.92 and 229.78 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 415.92 = 229.78 : x
  2. Step 2: Convert to fraction form
    277.60/415.92 = 229.78/x
  3. Step 3: Cross multiply
    277.60x = 415.92 × 229.78
  4. Step 4: Simplify right side
    277.60x = 95,570.10
  5. Step 5: Solve for x
    x = 95,570.10/277.60
  6. Step 6: Final answer
    x = 344.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.