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Finding the Fourth Proportional to 475.66, 712.96 and 201.94

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Solution

The fourth proportional to 475.66, 712.96 and 201.94 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 712.96 = 201.94 : x
  2. Step 2: Convert to fraction form
    475.66/712.96 = 201.94/x
  3. Step 3: Cross multiply
    475.66x = 712.96 × 201.94
  4. Step 4: Simplify right side
    475.66x = 143,975.14
  5. Step 5: Solve for x
    x = 143,975.14/475.66
  6. Step 6: Final answer
    x = 302.68

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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.