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Finding the Fourth Proportional to 277.55, 415.61 and 219.50

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Solution

The fourth proportional to 277.55, 415.61 and 219.50 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 415.61 = 219.50 : x
  2. Step 2: Convert to fraction form
    277.55/415.61 = 219.50/x
  3. Step 3: Cross multiply
    277.55x = 415.61 × 219.50
  4. Step 4: Simplify right side
    277.55x = 91,226.40
  5. Step 5: Solve for x
    x = 91,226.40/277.55
  6. Step 6: Final answer
    x = 328.68

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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.