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Finding the Fourth Proportional to 475.80, 713.72 and 449.82

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Solution

The fourth proportional to 475.80, 713.72 and 449.82 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 713.72 = 449.82 : x
  2. Step 2: Convert to fraction form
    475.80/713.72 = 449.82/x
  3. Step 3: Cross multiply
    475.80x = 713.72 × 449.82
  4. Step 4: Simplify right side
    475.80x = 321,043.28
  5. Step 5: Solve for x
    x = 321,043.28/475.80
  6. Step 6: Final answer
    x = 674.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.