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Finding the Fourth Proportional to 277.46, 414.24 and 243.44

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Solution

The fourth proportional to 277.46, 414.24 and 243.44 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 414.24 = 243.44 : x
  2. Step 2: Convert to fraction form
    277.46/414.24 = 243.44/x
  3. Step 3: Cross multiply
    277.46x = 414.24 × 243.44
  4. Step 4: Simplify right side
    277.46x = 100,842.59
  5. Step 5: Solve for x
    x = 100,842.59/277.46
  6. Step 6: Final answer
    x = 363.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.