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Finding the Fourth Proportional to 412.27, 569.12 and 281.96

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Solution

The fourth proportional to 412.27, 569.12 and 281.96 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.27 : 569.12 = 281.96 : x
  2. Step 2: Convert to fraction form
    412.27/569.12 = 281.96/x
  3. Step 3: Cross multiply
    412.27x = 569.12 × 281.96
  4. Step 4: Simplify right side
    412.27x = 160,469.08
  5. Step 5: Solve for x
    x = 160,469.08/412.27
  6. Step 6: Final answer
    x = 389.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.