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Finding the Fourth Proportional to 486.45, 667.71 and 449.51

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Solution

The fourth proportional to 486.45, 667.71 and 449.51 is: 617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.45 : 667.71 = 449.51 : x
  2. Step 2: Convert to fraction form
    486.45/667.71 = 449.51/x
  3. Step 3: Cross multiply
    486.45x = 667.71 × 449.51
  4. Step 4: Simplify right side
    486.45x = 300,138.98
  5. Step 5: Solve for x
    x = 300,138.98/486.45
  6. Step 6: Final answer
    x = 617.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.