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Finding the Fourth Proportional to 568.26, 853 and 414.26

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Solution

The fourth proportional to 568.26, 853 and 414.26 is: 621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 853 = 414.26 : x
  2. Step 2: Convert to fraction form
    568.26/853 = 414.26/x
  3. Step 3: Cross multiply
    568.26x = 853 × 414.26
  4. Step 4: Simplify right side
    568.26x = 353,363.78
  5. Step 5: Solve for x
    x = 353,363.78/568.26
  6. Step 6: Final answer
    x = 621.83

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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.