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Finding the Fourth Proportional to 277.83, 414.72 and 241.38

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Solution

The fourth proportional to 277.83, 414.72 and 241.38 is: 360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 414.72 = 241.38 : x
  2. Step 2: Convert to fraction form
    277.83/414.72 = 241.38/x
  3. Step 3: Cross multiply
    277.83x = 414.72 × 241.38
  4. Step 4: Simplify right side
    277.83x = 100,105.11
  5. Step 5: Solve for x
    x = 100,105.11/277.83
  6. Step 6: Final answer
    x = 360.31

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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.