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Finding the Fourth Proportional to 536.26, 804.22 and 276.18

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Solution

The fourth proportional to 536.26, 804.22 and 276.18 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 804.22 = 276.18 : x
  2. Step 2: Convert to fraction form
    536.26/804.22 = 276.18/x
  3. Step 3: Cross multiply
    536.26x = 804.22 × 276.18
  4. Step 4: Simplify right side
    536.26x = 222,109.48
  5. Step 5: Solve for x
    x = 222,109.48/536.26
  6. Step 6: Final answer
    x = 414.18

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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.