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Finding the Fourth Proportional to 490.66, 677.06 and 374.02

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Solution

The fourth proportional to 490.66, 677.06 and 374.02 is: 516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 677.06 = 374.02 : x
  2. Step 2: Convert to fraction form
    490.66/677.06 = 374.02/x
  3. Step 3: Cross multiply
    490.66x = 677.06 × 374.02
  4. Step 4: Simplify right side
    490.66x = 253,233.98
  5. Step 5: Solve for x
    x = 253,233.98/490.66
  6. Step 6: Final answer
    x = 516.11

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