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Finding the Fourth Proportional to 409, 613.50 and 281.56

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Solution

The fourth proportional to 409, 613.50 and 281.56 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 613.50 = 281.56 : x
  2. Step 2: Convert to fraction form
    409/613.50 = 281.56/x
  3. Step 3: Cross multiply
    409x = 613.50 × 281.56
  4. Step 4: Simplify right side
    409x = 172,737.06
  5. Step 5: Solve for x
    x = 172,737.06/409
  6. Step 6: Final answer
    x = 422.34

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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.