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Finding the Fourth Proportional to 490.74, 677.28 and 294.30

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Solution

The fourth proportional to 490.74, 677.28 and 294.30 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 677.28 = 294.30 : x
  2. Step 2: Convert to fraction form
    490.74/677.28 = 294.30/x
  3. Step 3: Cross multiply
    490.74x = 677.28 × 294.30
  4. Step 4: Simplify right side
    490.74x = 199,323.50
  5. Step 5: Solve for x
    x = 199,323.50/490.74
  6. Step 6: Final answer
    x = 406.17

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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.