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Finding the Fourth Proportional to 418.26, 572.09 and 411.54

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Solution

The fourth proportional to 418.26, 572.09 and 411.54 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 572.09 = 411.54 : x
  2. Step 2: Convert to fraction form
    418.26/572.09 = 411.54/x
  3. Step 3: Cross multiply
    418.26x = 572.09 × 411.54
  4. Step 4: Simplify right side
    418.26x = 235,435.86
  5. Step 5: Solve for x
    x = 235,435.86/418.26
  6. Step 6: Final answer
    x = 562.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.