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Finding the Fourth Proportional to 475.07, 712.29 and 201.09

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Solution

The fourth proportional to 475.07, 712.29 and 201.09 is: 301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 712.29 = 201.09 : x
  2. Step 2: Convert to fraction form
    475.07/712.29 = 201.09/x
  3. Step 3: Cross multiply
    475.07x = 712.29 × 201.09
  4. Step 4: Simplify right side
    475.07x = 143,234.40
  5. Step 5: Solve for x
    x = 143,234.40/475.07
  6. Step 6: Final answer
    x = 301.50

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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.