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Finding the Fourth Proportional to 475.01, 712.28 and 200.94

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Solution

The fourth proportional to 475.01, 712.28 and 200.94 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.01 : 712.28 = 200.94 : x
  2. Step 2: Convert to fraction form
    475.01/712.28 = 200.94/x
  3. Step 3: Cross multiply
    475.01x = 712.28 × 200.94
  4. Step 4: Simplify right side
    475.01x = 143,124.54
  5. Step 5: Solve for x
    x = 143,124.54/475.01
  6. Step 6: Final answer
    x = 301.31

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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.