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Finding the Fourth Proportional to 490.24, 676.64 and 407.12

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Solution

The fourth proportional to 490.24, 676.64 and 407.12 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 676.64 = 407.12 : x
  2. Step 2: Convert to fraction form
    490.24/676.64 = 407.12/x
  3. Step 3: Cross multiply
    490.24x = 676.64 × 407.12
  4. Step 4: Simplify right side
    490.24x = 275,473.68
  5. Step 5: Solve for x
    x = 275,473.68/490.24
  6. Step 6: Final answer
    x = 561.92

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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.