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Finding the Fourth Proportional to 475.44, 712.86 and 201.46

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Solution

The fourth proportional to 475.44, 712.86 and 201.46 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 712.86 = 201.46 : x
  2. Step 2: Convert to fraction form
    475.44/712.86 = 201.46/x
  3. Step 3: Cross multiply
    475.44x = 712.86 × 201.46
  4. Step 4: Simplify right side
    475.44x = 143,613.67
  5. Step 5: Solve for x
    x = 143,613.67/475.44
  6. Step 6: Final answer
    x = 302.06

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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.