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Finding the Fourth Proportional to 475.53, 713.34 and 201.78

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Solution

The fourth proportional to 475.53, 713.34 and 201.78 is: 302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.53 : 713.34 = 201.78 : x
  2. Step 2: Convert to fraction form
    475.53/713.34 = 201.78/x
  3. Step 3: Cross multiply
    475.53x = 713.34 × 201.78
  4. Step 4: Simplify right side
    475.53x = 143,937.75
  5. Step 5: Solve for x
    x = 143,937.75/475.53
  6. Step 6: Final answer
    x = 302.69

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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.