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Finding the Fourth Proportional to 494.95, 683.05 and 273.91

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Solution

The fourth proportional to 494.95, 683.05 and 273.91 is: 378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.95 : 683.05 = 273.91 : x
  2. Step 2: Convert to fraction form
    494.95/683.05 = 273.91/x
  3. Step 3: Cross multiply
    494.95x = 683.05 × 273.91
  4. Step 4: Simplify right side
    494.95x = 187,094.23
  5. Step 5: Solve for x
    x = 187,094.23/494.95
  6. Step 6: Final answer
    x = 378.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.