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Finding the Fourth Proportional to 490.72, 677.10 and 294.16

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Solution

The fourth proportional to 490.72, 677.10 and 294.16 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.72 : 677.10 = 294.16 : x
  2. Step 2: Convert to fraction form
    490.72/677.10 = 294.16/x
  3. Step 3: Cross multiply
    490.72x = 677.10 × 294.16
  4. Step 4: Simplify right side
    490.72x = 199,175.74
  5. Step 5: Solve for x
    x = 199,175.74/490.72
  6. Step 6: Final answer
    x = 405.88

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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.