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Finding the Fourth Proportional to 431.87, 648.04 and 200.87

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Solution

The fourth proportional to 431.87, 648.04 and 200.87 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 648.04 = 200.87 : x
  2. Step 2: Convert to fraction form
    431.87/648.04 = 200.87/x
  3. Step 3: Cross multiply
    431.87x = 648.04 × 200.87
  4. Step 4: Simplify right side
    431.87x = 130,171.24
  5. Step 5: Solve for x
    x = 130,171.24/431.87
  6. Step 6: Final answer
    x = 301.41

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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.