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Finding the Fourth Proportional to 447.76, 667.70 and 376.08

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Solution

The fourth proportional to 447.76, 667.70 and 376.08 is: 560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.76 : 667.70 = 376.08 : x
  2. Step 2: Convert to fraction form
    447.76/667.70 = 376.08/x
  3. Step 3: Cross multiply
    447.76x = 667.70 × 376.08
  4. Step 4: Simplify right side
    447.76x = 251,108.62
  5. Step 5: Solve for x
    x = 251,108.62/447.76
  6. Step 6: Final answer
    x = 560.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.