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Finding the Fourth Proportional to 367.80, 551.76 and 277.20

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Solution

The fourth proportional to 367.80, 551.76 and 277.20 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 551.76 = 277.20 : x
  2. Step 2: Convert to fraction form
    367.80/551.76 = 277.20/x
  3. Step 3: Cross multiply
    367.80x = 551.76 × 277.20
  4. Step 4: Simplify right side
    367.80x = 152,947.87
  5. Step 5: Solve for x
    x = 152,947.87/367.80
  6. Step 6: Final answer
    x = 415.85

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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.