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Finding the Fourth Proportional to 494.06, 741.41 and 277.79

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Solution

The fourth proportional to 494.06, 741.41 and 277.79 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 741.41 = 277.79 : x
  2. Step 2: Convert to fraction form
    494.06/741.41 = 277.79/x
  3. Step 3: Cross multiply
    494.06x = 741.41 × 277.79
  4. Step 4: Simplify right side
    494.06x = 205,951.19
  5. Step 5: Solve for x
    x = 205,951.19/494.06
  6. Step 6: Final answer
    x = 416.86

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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.