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Finding the Fourth Proportional to 490.68, 677.24 and 291.56

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Solution

The fourth proportional to 490.68, 677.24 and 291.56 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 677.24 = 291.56 : x
  2. Step 2: Convert to fraction form
    490.68/677.24 = 291.56/x
  3. Step 3: Cross multiply
    490.68x = 677.24 × 291.56
  4. Step 4: Simplify right side
    490.68x = 197,451.25
  5. Step 5: Solve for x
    x = 197,451.25/490.68
  6. Step 6: Final answer
    x = 402.40

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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.