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Finding the Fourth Proportional to 475.21, 713.10 and 201.43

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Solution

The fourth proportional to 475.21, 713.10 and 201.43 is: 302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.21 : 713.10 = 201.43 : x
  2. Step 2: Convert to fraction form
    475.21/713.10 = 201.43/x
  3. Step 3: Cross multiply
    475.21x = 713.10 × 201.43
  4. Step 4: Simplify right side
    475.21x = 143,639.73
  5. Step 5: Solve for x
    x = 143,639.73/475.21
  6. Step 6: Final answer
    x = 302.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.