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Finding the Fourth Proportional to 536.12, 804.26 and 262.02

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Solution

The fourth proportional to 536.12, 804.26 and 262.02 is: 393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 804.26 = 262.02 : x
  2. Step 2: Convert to fraction form
    536.12/804.26 = 262.02/x
  3. Step 3: Cross multiply
    536.12x = 804.26 × 262.02
  4. Step 4: Simplify right side
    536.12x = 210,732.21
  5. Step 5: Solve for x
    x = 210,732.21/536.12
  6. Step 6: Final answer
    x = 393.07

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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.