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Finding the Fourth Proportional to 494.10, 739.76 and 378.05

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Solution

The fourth proportional to 494.10, 739.76 and 378.05 is: 566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.10 : 739.76 = 378.05 : x
  2. Step 2: Convert to fraction form
    494.10/739.76 = 378.05/x
  3. Step 3: Cross multiply
    494.10x = 739.76 × 378.05
  4. Step 4: Simplify right side
    494.10x = 279,660.68
  5. Step 5: Solve for x
    x = 279,660.68/494.10
  6. Step 6: Final answer
    x = 566.00

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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.