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Finding the Fourth Proportional to 475.75, 712.51 and 399.21

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Solution

The fourth proportional to 475.75, 712.51 and 399.21 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 712.51 = 399.21 : x
  2. Step 2: Convert to fraction form
    475.75/712.51 = 399.21/x
  3. Step 3: Cross multiply
    475.75x = 712.51 × 399.21
  4. Step 4: Simplify right side
    475.75x = 284,435.56
  5. Step 5: Solve for x
    x = 284,435.56/475.75
  6. Step 6: Final answer
    x = 597.87

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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.