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Finding the Fourth Proportional to 620.25, 853.38 and 537.09

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Solution

The fourth proportional to 620.25, 853.38 and 537.09 is: 738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.25 : 853.38 = 537.09 : x
  2. Step 2: Convert to fraction form
    620.25/853.38 = 537.09/x
  3. Step 3: Cross multiply
    620.25x = 853.38 × 537.09
  4. Step 4: Simplify right side
    620.25x = 458,341.86
  5. Step 5: Solve for x
    x = 458,341.86/620.25
  6. Step 6: Final answer
    x = 738.96

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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.