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Finding the Fourth Proportional to 561.97, 843.41 and 288.26

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Solution

The fourth proportional to 561.97, 843.41 and 288.26 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.97 : 843.41 = 288.26 : x
  2. Step 2: Convert to fraction form
    561.97/843.41 = 288.26/x
  3. Step 3: Cross multiply
    561.97x = 843.41 × 288.26
  4. Step 4: Simplify right side
    561.97x = 243,121.03
  5. Step 5: Solve for x
    x = 243,121.03/561.97
  6. Step 6: Final answer
    x = 432.62

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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.