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Finding the Fourth Proportional to 517.22, 711.64 and 447.05

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Solution

The fourth proportional to 517.22, 711.64 and 447.05 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.22 : 711.64 = 447.05 : x
  2. Step 2: Convert to fraction form
    517.22/711.64 = 447.05/x
  3. Step 3: Cross multiply
    517.22x = 711.64 × 447.05
  4. Step 4: Simplify right side
    517.22x = 318,132.87
  5. Step 5: Solve for x
    x = 318,132.87/517.22
  6. Step 6: Final answer
    x = 615.09

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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.