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Finding the Fourth Proportional to 475.16, 712.21 and 201.44

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Solution

The fourth proportional to 475.16, 712.21 and 201.44 is: 301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.16 : 712.21 = 201.44 : x
  2. Step 2: Convert to fraction form
    475.16/712.21 = 201.44/x
  3. Step 3: Cross multiply
    475.16x = 712.21 × 201.44
  4. Step 4: Simplify right side
    475.16x = 143,463.01
  5. Step 5: Solve for x
    x = 143,463.01/475.16
  6. Step 6: Final answer
    x = 301.93

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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.