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Finding the Fourth Proportional to 475.41, 712.94 and 201.52

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Solution

The fourth proportional to 475.41, 712.94 and 201.52 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.41 : 712.94 = 201.52 : x
  2. Step 2: Convert to fraction form
    475.41/712.94 = 201.52/x
  3. Step 3: Cross multiply
    475.41x = 712.94 × 201.52
  4. Step 4: Simplify right side
    475.41x = 143,672.31
  5. Step 5: Solve for x
    x = 143,672.31/475.41
  6. Step 6: Final answer
    x = 302.21

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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.