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Finding the Fourth Proportional to 474.67, 712.23 and 200.83

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Solution

The fourth proportional to 474.67, 712.23 and 200.83 is: 301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.67 : 712.23 = 200.83 : x
  2. Step 2: Convert to fraction form
    474.67/712.23 = 200.83/x
  3. Step 3: Cross multiply
    474.67x = 712.23 × 200.83
  4. Step 4: Simplify right side
    474.67x = 143,037.15
  5. Step 5: Solve for x
    x = 143,037.15/474.67
  6. Step 6: Final answer
    x = 301.34

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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.