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Finding the Fourth Proportional to 475.96, 713.34 and 201.92

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Solution

The fourth proportional to 475.96, 713.34 and 201.92 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.96 : 713.34 = 201.92 : x
  2. Step 2: Convert to fraction form
    475.96/713.34 = 201.92/x
  3. Step 3: Cross multiply
    475.96x = 713.34 × 201.92
  4. Step 4: Simplify right side
    475.96x = 144,037.61
  5. Step 5: Solve for x
    x = 144,037.61/475.96
  6. Step 6: Final answer
    x = 302.63

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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.