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Finding the Fourth Proportional to 490.91, 677.22 and 313.77

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Solution

The fourth proportional to 490.91, 677.22 and 313.77 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.91 : 677.22 = 313.77 : x
  2. Step 2: Convert to fraction form
    490.91/677.22 = 313.77/x
  3. Step 3: Cross multiply
    490.91x = 677.22 × 313.77
  4. Step 4: Simplify right side
    490.91x = 212,491.32
  5. Step 5: Solve for x
    x = 212,491.32/490.91
  6. Step 6: Final answer
    x = 432.86

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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.