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Finding the Fourth Proportional to 494.05, 741.21 and 277.78

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Solution

The fourth proportional to 494.05, 741.21 and 277.78 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.05 : 741.21 = 277.78 : x
  2. Step 2: Convert to fraction form
    494.05/741.21 = 277.78/x
  3. Step 3: Cross multiply
    494.05x = 741.21 × 277.78
  4. Step 4: Simplify right side
    494.05x = 205,893.31
  5. Step 5: Solve for x
    x = 205,893.31/494.05
  6. Step 6: Final answer
    x = 416.75

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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.