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Finding the Fourth Proportional to 536.41, 804.39 and 276.36

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Solution

The fourth proportional to 536.41, 804.39 and 276.36 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 804.39 = 276.36 : x
  2. Step 2: Convert to fraction form
    536.41/804.39 = 276.36/x
  3. Step 3: Cross multiply
    536.41x = 804.39 × 276.36
  4. Step 4: Simplify right side
    536.41x = 222,301.22
  5. Step 5: Solve for x
    x = 222,301.22/536.41
  6. Step 6: Final answer
    x = 414.42

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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.