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Finding the Fourth Proportional to 536.11, 804.33 and 262.22

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Solution

The fourth proportional to 536.11, 804.33 and 262.22 is: 393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.11 : 804.33 = 262.22 : x
  2. Step 2: Convert to fraction form
    536.11/804.33 = 262.22/x
  3. Step 3: Cross multiply
    536.11x = 804.33 × 262.22
  4. Step 4: Simplify right side
    536.11x = 210,911.41
  5. Step 5: Solve for x
    x = 210,911.41/536.11
  6. Step 6: Final answer
    x = 393.41

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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.